Publications
[Related links: publications according to MathSciNet; articles from Web of Knowledge with citation data; Author Profile on Zentralblatt Math]
Journal Articles:
The radius of starlikeness of regular Coulomb wave functions [with P. Kumar, S. Singh]
Infinitely divisible modified Bessel distributions [with D. Prabhu, S. Singh, V.A. Vijesh]
Asymptotic expansions for the radii of starlikeness of normalised q-Bessel functions [with P. Kumar, S. Singh]
Bounds and asymptotic expansions for the radii of convexity and uniform convexity of normalised Bessel functions [with P. Kumar, S. Singh]
Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function [with T.K. Pogány] Constructive Approximation 58(3) (2023) 713-783.
Infinite divisibility of the Whittaker distribution [with G.M. Assefa], Proceedings of the American Mathematical Society 151(12) (2023) 5429-5442.
Exponential bounds for the logarithmic derivative of Whittaker functions [with G.M. Assefa], Proceedings of the American Mathematical Society 151(11) (2023) 4867-4880.
On starlikeness of regular Coulomb wave functions [with P. Kumar, S. Singh] Proceedings of the American Mathematical Society 151(6) (2023) 2325-2338.
Asymptotic and numerical aspects of the generalized Marcum function of the second kind [with N. Bisht, S. Singh, V.A. Vijesh] Applicable Analysis and Discrete Mathematics 16(1) (2022) 202-217.
Bounds for the generalized Marcum function of the second kind [with N. Bisht, S. Singh, V.A. Vijesh] Ramanujan Journal 58 (2022) 1-21.
Functional inequalities and bounds for the generalized Marcum function of the second kind [with N. Bisht, S. Singh, V.A. Vijesh] Results in Mathematics 76(1) (2021) Art. 35.
Approximation of cdf of non-central chi-square distribution by mean-value theorems for integrals [with D. Jankov Maširević, T.K. Pogány] Mathematics 9(2) (2021) Art. 129.
Asymptotic expansions for the radii of starlikeness of normalised Bessel functions [with G. Nemes] Journal of Mathematical Analysis and Applications 494(2) (2021) Art. 124624.
The generalized Marcum function of the second kind: Monotonicity patterns and tight bounds [with N. Bisht, S. Singh, V.A. Vijesh] Journal of Computational and Applied Mathematics 382 (2021) Art. 113093.
Geometric and monotonic properties of hyper-Bessel functions [with I. Aktaş, S. Singh] Ramanujan Journal 51(2) (2020) 275-295.
Radii of starlikeness and convexity of generalized Mittag-Leffler functions [with A. Prajapati] Mathematical Communications 25(1) (2020) 117-135.
Zeros of orthogonal polynomials near an algebraic singularity of the measure [with T. Danka] Constructive Approximation 47(3) (2018) 407-435.
Cross-product of Bessel functions: monotonicity patterns and functional inequalities [with S. Ponnusamy, S. Singh]. Proceedings of the Indian Academy of Sciences- Mathematical Sciences 128(3) (2018) Art.36, pp. 30.
Redheffer type bounds for Bessel and modified Bessel functions of the first kind [with K. Mehrez] Aequationes Mathematicae 92(3) (2018) 425-439.
Zeros of some special entire functions [with S. Singh]. Proceedings of the American Mathematical Society 146(5) (2018) 2207-2216.
Radii of starlikeness and convexity of a product and cross-product of Bessel functions [with A. Szakál, R. Szász, N. Yağmur] Results in Mathematics 73(2) (2018) Art. 62, pp. 34.
The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants [with F. Štampach] Linear Algebra and its Applications 548(1) (2018) 259-272.
Zeros of Bessel function derivatives [with C.G. Kokologiannaki, T.K. Pogány]. Proceedings of the American Mathematical Society 146(1) (2018) 209-222.
Bounds for radii of starlikeness and convexity of some special functions [with I. Aktaş, H. Orhan]. Turkish Journal of Mathematics 42(1) (2018) 211-226.
Radii of starlikeness and convexity of Wright functions [with E. Toklu, E. Kadioglu]. Mathematical Communications 23(1) (2018) 97-117.
On the generalization of the Lambert W function [with I. Mező]. Transactions of the American Mathematical Society 369(11) (2017) 7917-7934.
Radii of starlikeness and convexity of a cross-product of Bessel functions [with N. Yağmur]. Ramanujan Journal 44(3) (2017) 493-519.
Bounds for radii of starlikeness of some q-Bessel functions [with I. Aktaş]. Results in Mathematics 72(1) (2017) 947-963.
Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions. Proceedings of the American Mathematical Society 145(4) (2017) 1643-1648.
Bounds for the radii of univalence of some special functions [with I. Aktaş, N. Yağmur]. Mathematical Inequalities and Applications 20(3) (2017) 825-843.
Turán type inequalities for Struve functions [with S. Ponnusamy, S. Singh]. Journal of Mathematical Analysis and Applications 445(1) (2017) 971-984.
Bounds for the asymptotic order parameter of the stochastic Kuramoto model [with I. Mező]. Journal of Approximation Theory 217 (2017) 1-14.
Properties of the Turánian of modified Bessel functions [with I. Mező] Mathematical Inequalities and Applications 20(4) (2017) 991-1001.
Geometric properties of some Lommel and Struve functions [with N. Yağmur]. Ramanujan Journal 42(2) (2017) 325-346.
Monotonicity properties of the Bessel-Struve kernel [with S.R. Mondal, A. Swaminathan]. Bulletin of the Korean Mathematical Society 53(6) (2016) 1845-1856.
Differential subordination and superordination results associated with the Wright function [with S. Kant, J.K. Prajapat]. Bulletin of the Iranian Mathematical Society 42(6) (2016) 1459-1477.
Close-to-convexity of normalized Dini functions [with E. Deniz, N. Yağmur]. Mathematische Nachrichten 14-15(289) (2016) 1721-1726.
Turán type inequalities for some Lommel functions of the first kind [with S. Koumandos]. Proceedings of the Edinburgh Mathematical Society 59 (2016) 569-579.
Bounds for the product of modified Bessel functions [with D. Jankov Maširević, S. Ponnusamy, S. Singh]. Aequationes Mathematicae 90(4) (2016) 859-870.
Radii of starlikeness of some special functions [with D.K. Dimitrov, H. Orhan, N. Yağmur]. Proceedings of the American Mathematical Society 144(8) (2016) 3355-3367.
Modified Dini functions: monotonicity patterns and functional inequalities [with S. Ponnusamy, S. Singh]. Acta Mathematica Hungarica 149(1) (2016) 120-142.
Starlikeness of a cross-product of Bessel functions [with H.A. Alkharsani, T.K. Pogány]. Journal of Mathematical Inequalities 10(3) (2016) 819-827.
Turán type inequalities for confluent hypergeometric functions of the second kind [with S. Ponnusamy, S. Singh]. Studia Scientiarum Mathematicarum Hungarica 53(1) (2016) 74-92.
The radius of alpha convexity of normalized Bessel functions of the first kind [with H. Orhan, R. Szász]. Computational Methods and Function Theory 16(1) (2016) 93-103.
Ulam-Hyers stability of singular integral equations, via weakly Picard operators [with Sz. András, T.K. Pogány]. Fixed Point Theory 17(1) (2016) 21-36.
Differential subordinations and superordinations for generalized Bessel functions [with H.A. Alkharsani, K.S. Nisar]. Bulletin of the Korean Mathematical Society 53(1) (2016) 127-138.
Starlikeness of Bessel functions and their derivatives [with M. Çağlar, E. Deniz]. Mathematical Inequalities and Applications 19(2) (2016) 439-449.
Turán type inequalities for general Bessel functions [with S. Ponnusamy, S. Singh]. Mathematical Inequalities and Applications 19(2) (2016) 709-719.
Close-to-convexity of some special functions and their derivatives [with R. Szász]. Bulletin of the Malaysian Mathematical Sciences Society 39(1) (2016) 427-437.
Radii of starlikeness and convexity of some q-Bessel functions [with D.K. Dimitrov, I. Mező]. Journal of Mathematical Analysis and Applications 435(1) (2016) 968-985.
The radius of convexity of normalized Bessel functions [with R. Szász]. Analysis Mathematica 41(3) (2015) 141-151.
Julia's lemma on the hyperbolic disk [with S. Ponnusamy, Cs. Varga]. Annales Academiae Scientiarum Fennicae Mathematica 40 (2015) 939-948.
Extension of Karamata inequality for generalized inverse trigonometric functions [with T.K. Pogány]. Studia Universitatis Babeş-Bolyai Mathematica 60(3) (2015) 379-384.
Convexity properties of generalized trigonometric and hyperbolic functions [with B.A. Bhayo, R. Klén]. Aequationes Mathematicae 89(3) (2015) 473-484.
Differential subordinations involving generalized Bessel functions [with E. Deniz, M. Çağlar, H. Orhan]. Bulletin of the Malaysian Mathematical Sciences Society 38(3) (2015) 1255-1280.
Turán type inequalities for regular Coulomb wave functions. Journal of Mathematical Analysis and Applications 430(1) (2015) 166-180.
Bounds for Turánians of modified Bessel functions. Expositiones Mathematicae 33(2) (2015) 223-251.
Turán type inequalities for generalized inverse trigonometric functions [with B.A. Bhayo, M. Vuorinen]. Filomat 29(2) (2015) 303-313.
Bounds for Jaeger integrals [with T.K. Pogány, S. Ponnusamy, I. Rudas]. Journal of Mathematical Chemistry 53(5) (2015) 1257-1273.
Van der Corput inequalities for Bessel functions [with A. Laforgia, T.K. Pogány]. Integral Transforms and Special Functions 26(1) (2015) 78-87.
On an identity for zeros of Bessel functions [with D. Jankov Maširević, T.K. Pogány, R. Szász]. Journal of Mathematical Analysis and Applications 422(1) (2015) 27-36.
Mapping properties of basic hypergeometric functions [with A. Swaminathan]. Journal of Classical Analysis 5(2) (2014) 115-128.
The radius of convexity of normalized Bessel functions of the first kind [with R. Szász]. Analysis and Applications 12(5) (2014) 485-509.
Functional inequalities for modified Struve functions II [with T.K. Pogány]. Mathematical Inequalities and Applications 17(4) (2014) 1387-1398.
Landen inequalities for special functions. Proceedings of the American Mathematical Society 142(9) (2014) 3059-3066.
Functional inequalities for modified Struve functions [with T.K. Pogány]. Proceedings of the Royal Society of Edinburgh Section A Mathematics 144(5) (2014) 891-904.
Remarks on a parameter estimation for von Mises-Fisher distributions. Computational Statistics 29 (2014) 891-894.
On a sum of modified Bessel functions [with T.K. Pogány]. Mediterranean Journal of Mathematics 11(2) (2014) 349-360.
The radius of starlikeness of normalized Bessel functions of the first kind [with P.A. Kupán, R. Szász]. Proceedings of the American Mathematical Society 142(6) (2014) 2019-2025.
Functional inequalities for the Bickley function [with T.K. Pogány]. Mathematical Inequalities and Applications 17(3) (2014) 989-1003.
Turán determinants of Bessel functions [with T.K. Pogány]. Forum Mathematicum 26(1) (2014) 295-322.
Functional inequalities for generalized inverse trigonometric and hyperbolic functions [with B.A. Bhayo, T.K. Pogány]. Journal of Mathematical Analysis and Applications 417 (2014) 244-259.
The radius of univalence of the reciprocal of a product of two analytic functions [with M. Obradović, S. Ponnusamy]. Journal of Analysis 21 (2013) 1-19.
Integral representations and summations of modified Struve function [with T.K. Pogány]. Acta Mathematica Hungarica 141(3) (2013) 254-281.
Inequalities for the one-dimensional analogous of the Coulomb potential [with T.K. Pogány]. Acta Polytechnica Hungarica 10(7) (2013) 53-67.
Integral representations of Dini series of Bessel functions [with D. Jankov, T.K. Pogány]. Integral Transforms and Special Functions 24(8) (2013) 628-635.
Turán type inequalities for Tricomi confluent hypergeometric functions [with M.E.H. Ismail]. Constructive Approximation 37(2) (2013) 195-221.
Differential inequalities and Bessel functions [with S. Ponnusamy]. Journal of Mathematical Analysis and Applications 400(2) (2013) 558-567.
Turán type inequalities for q-hypergeometric functions [with K. Raghavendar, A. Swaminathan]. Journal of Approximation Theory 168 (2013) 69-79.
On Turán type inequalities for modified Bessel functions [with S. Ponnusamy]. Proceedings of the American Mathematical Society 141(2) (2013) 523-532.
Mills' ratio: Reciprocal convexity and functional inequalities. Acta Universitatis Sapientiae Mathematica 4(1) (2012) 26-35.
Neumann series of Bessel functions [with D. Jankov, T.K. Pogány]. Integral Transforms and Special Functions 23(7) (2012) 529-538.
Turán type inequalities for Kratzel functions [with D. Jankov, T.K. Pogány]. Journal of Mathematical Analysis and Applications 388(2) (2012) 716-724.
Integral representations for Neumann-type series of Bessel functions I_v, Y_v and K_v [with D. Jankov, T.K. Pogány]. Proceedings of the American Mathematical Society 140(3) (2012) 951-960.
Functional inequalities for the incomplete gamma function [with H. Alzer]. Journal of Mathematical Analysis and Applications 385(1) (2012) 167-178.
On Kaluza's sign criterion for reciprocal power series [with J. Vesti, M. Vuorinen]. Annales Universitatis Mariae Curie-Sklodowska. Sectio A. Mathematica 65(2) (2011) 1-16.
Functional inequalities for modified Bessel functions [with S. Ponnusamy, M. Vuorinen]. Expositiones Mathematicae 29(4) (2011) 399-414.
The generalized Marcum Q-function: an orthogonal polynomial approach [with Sz. András, Y. Sun]. Acta Universitatis Sapientiae Mathematica 3(1) (2011) 60-76.
Integral representation of first kind Kapteyn series [with D. Jankov, T.K. Pogány]. Journal of Mathematical Physics 52 (2011) Art. 043518, pp. 7.
Corrections to "Unified Laguerre polynomial-series-based distribution of small-scale fading envelopes'' [with Y. Sun, S. Zhou]. IEEE Transactions on Vehicular Technology 60(1) (2011) 347-349.
Bounds for complete elliptic integrals of the first kind [with Sz. András]. Expositiones Mathematicae 28(4) (2010) 357-364.
Turán type inequalities for some probability density functions. Studia Scientiarum Mathematicarum Hungarica 47(2) (2010) 175-189.
Bounds for the generalized Marcum Q-function [with Y. Sun]. Applied Mathematics and Computation 217(5) (2010) 2238-2250.
Powers of modified Bessel functions of the first kind. Applied Mathematics Letters 23(6) (2010) 722-724.
Bounds for modified Bessel functions of the first and second kinds. Proceedings of the Edinburgh Mathematical Society 53(3) (2010) 575-599.
Turán type inequalities for modified Bessel functions. Bulletin of the Australian Mathematical Society 82(2) (2010) 254-264.
Starlikeness and convexity of generalized Bessel functions [with S. Ponnusamy]. Integral Transforms and Special Functions 21(9) (2010) 641-653.
On the monotonicity, log-concavity and tight bounds of the generalized Marcum and Nuttall Q-functions [with Y. Sun, S. Zhou]. IEEE Transactions on Information Theory 56(3) (2010) 1166-1186.
Univalence of integral operators involving Bessel functions [with B. Frasin]. Applied Mathematics Letters 23(4) (2010) 371-376.
Geometrically concave univariate distributions. Journal of Mathematical Analysis and Applications 363(1) (2010) 182-196.
Approximate average bit error probability for DQPSK over fading channels [with Y. Sun, M. Zhao, X. Xu, S. Zhou]. Electronics Letters 45(23) (2009) 1177-1179.
Generalizations of Mitrinovic, Adamovic and Lazarevic's inequalities and their applications [with S. Wu]. Publicationes Mathematicae Debrecen 75 (2009) 447-458.
Tight bounds for the generalized Marcum Q-function. Journal of Mathematical Analysis and Applications 360(1) (2009) 265-277.
Monotonicity property of generalized and normalized Bessel functions of complex order [with Sz. András]. Complex Variables and Elliptic Equations 54(7) (2009) 689-696.
New bounds for the generalized Marcum Q-function [with Y. Sun]. IEEE Transactions on Information Theory 55(7) (2009) 3091-3100.
Sharp exponential Redheffer-type inequalities for Bessel functions [with S. Wu]. Publicationes Mathematicae Debrecen 74 (2009) 257-278.
Sharp Jordan type inequalities for Bessel functions [with S. Wu]. Publicationes Mathematicae Debrecen 74 (2009) 107-126.
Extensions of the generalized Wilker inequality to Bessel functions [with J. Sándor]. Journal of Mathematical Inequalities 2(3) (2008) 397-406.
On a product of modified Bessel functions. Proceedings of the American Mathematical Society 137(1) (2009) 189-193.
Inequalities for the generalized Marcum Q-function [with Y. Sun]. Applied Mathematics and Computation 203(1) (2008) 134-141.
Functional inequalities involving Bessel and modified Bessel functions of the first kind. Expositiones Mathematicae 26(3) (2008) 279-293.
Geometric properties of generalized Bessel functions. Publicationes Mathematicae Debrecen 73 (2008) 155-178.
Jordan-type inequalities for generalized Bessel functions. Journal of Inequalities in Pure and Applied Mathematics 9(2) (2008) Art. 39, pp. 6.
Properties of the probability density function of the non-central chi-squared distribution [with Sz. András]. Journal of Mathematical Analysis and Applications 346(2) (2008) 395-402.
Turán type inequalities for hypergeometric functions. Proceedings of the American Mathematical Society 136(9) (2008) 3223-3229.
A functional inequality for the survival function of the gamma distribution. Journal of Inequalities in Pure and Applied Mathematics 9(1) (2008) Art. 13, pp. 5.
Mills' ratio: Monotonicity patterns and functional inequalities. Journal of Mathematical Analysis and Applications 340(2) (2008) 1362-1370.
Extension of Oppenheim's problem to Bessel functions [with L. Zhu]. Journal of Inequalities and Applications. 2007 (2007) Art. 82038.
Inequalities involving modified Bessel functions of the first kind II [with E. Neuman]. Journal of Mathematical Analysis and Applications 332(1) (2007) 256-271.
Turán type inequalities for generalized complete elliptic integrals. Mathematische Zeitschrift 256(4) (2007) 895-911.
Functional inequalities for Galué's generalized modified Bessel functions. Journal of Mathematical Inequalities 1(2) (2007) 183-193.
Some inequalities involving generalized Bessel functions. Mathematical Inequalities and Applications 10(4) (2007) 827-842.
Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means. Journal of Inequalities in Pure and Applied Mathematics 8(2) (2007) Art. 40, pp. 9.
Redheffer type inequality for Bessel functions. Journal of Inequalities in Pure and Applied Mathematics 8(1) (2007) Art. 11, pp. 6.
Functional inequalities involving special functions II. Journal of Mathematical Analysis and Applications 327(2) (2007) 1202-1213.
Grünbaum-type inequalities for special functions. Journal of Inequalities in Pure and Applied Mathematics 7(5) (2006) Art. 175, pp. 8.
Bessel transforms and Hardy space of generalized Bessel functions. Mathematica 48(71)(2) (2006) 127-136.
Functional inequalities involving special functions. Journal of Mathematical Analysis and Applications 319(2) (2006) 450-459.
Geometric properties of generalized Bessel functions of complex order. Mathematica 48(71)(1) (2006) 13-18.
Inequalities involving generalized Bessel functions [with E. Neuman]. Journal of Inequalities in Pure and Applied Mathematics 6(4) (2005) Art. 126, pp. 9.
Landen-type inequality for Bessel functions. Computational Methods and Function Theory 5(2) (2005) 373-379.
Univalent functions in simply connected domains. Libertas Mathematica 25 (2005) 97-103.
A subclass of starlike functions. Mathematica 47(70)(1) (2005) 19-25.
Applications of the admissible functions method for some differential equations. Pure Mathematics and Applications 13 (2002) 433-440.
Proceedings Papers and other Papers in Volumes:
On Kapteyn-Kummer series' integral form [with T.K. Pogány, A. Szakál]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2016) 119-122.
Incomplete Kratzel function model of leaky aquifer and alike functions [with T.K. Pogány, I. Rudas]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2015) 59-62.
Bounds for the symmetric difference of generalized Marcum Q-functions [with T. Mészáros]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2015) 63-67.
Properties of the product of modified Bessel functions [with T.K. Pogány]. Analytic Number Theory, Approximation Theory, and Special Functions (2014) 809-820.
Alternating Mathieu series, Hilbert-Eisenstein series and their generalized Omega functions [with P.L. Butzer, T.K. Pogány]. Analytic Number Theory, Approximation Theory, and Special Functions (2014) 775-808.
Monotonicity properties of some Dini functions [with T.K. Pogány, R. Szász]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2014) 323-326.
New approximations for DQPSK transmission bit error rate [with Sz. András, J. Fodor]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2013) 73-77.
Sampling Bessel functions and Bessel sampling [with D. Jankov Maširević, T.K. Pogány, A. Galántai]. Proc. Inter. Symp. Appl. Comput. Intell. Inform., Timişoara (2013) 79-84.
Books:
Series of Bessel and Kummer type functions [with D. Jankov Maširević, T.K. Pogány], Lecture Notes in Mathematics, vol. 2207, Springer, Berlin, 2018.
Generalized Bessel functions of the first kind, Lecture Notes in Mathematics, vol. 1994, Springer, Berlin, 2010.
Statistics for economists [in Hungarian, with Sz. András], Státus, Miercurea-Ciuc [Csíkszereda], pp. 300, 2007.
Habilitation Theses:
Radii of starlikeness and convexity of some special functions, Faculty of Mathematics and Informatics, Babeş-Bolyai University, Cluj-Napoca, 2017.
The generalized Marcum Q-function: inequalities, bounds and applications, Institute of Applied Mathematics, Óbuda University, Budapest, 2015.
Ph.D. Theses:
Turán type inequalities for some special functions, Institute of Mathematics, University of Debrecen, Debrecen, 2008.
Generalized Bessel functions of the first kind, Faculty of Mathematics and Informatics, Babeş-Bolyai University, Cluj-Napoca, 2008.