Publications

Razdan, Atul Kumar; Ravichandran, V. Fundamentals of analysis with applications. Springer, Singapore, [2022], 2022. xxiv+477 pp. ISBN: 978-981-16-8382-4; 978-981-16-8383-1 MR4407927 

Razdan, Atul Kumar; Ravichandran, V. Fundamentals of partial differential equations. Springer, Singapore, [2022], 2022. xv+551 pp. ISBN: 978-981-16-9864-4; 978-981-16-9865-1 MR4434627 

Anand, Swati; Rai, Pratima; Kumar, Sushil. Close-to-convex functions associated with a rational function. Math. Slovaca 74 (2024), no. 2, 339–354. MR4749967

Ahuja, Om P.; Çetinkaya, Asena; Kumar, Sushil. Geometric properties of starlikeness involving hyperbolic cosine function. Commun. Korean Math. Soc. 39 (2024), no. 2, 407–420. MR4739852

Janani, B. B.; Ravichandran, V. Sufficient conditions for functions to be meromorphic starlike of reciprocal order $\alpha$. J. Anal. 32 (2024), no. 4, 2265–2280. MR4778982

Kaur, Gurpreet; Nagpal, Sumit. Radius problems for ratios of analytic functions involving sigmoid domain. Asian-Eur. J. Math. 17 (2024), no. 1, Paper No. 2350239, 16 pp. MR4706210

Kaur, Gurpreet; Nagpal, Sumit. Radius of convexity of classes associated with the ratio of derivative functions. Rend. Circ. Mat. Palermo (2) 73 (2024), no. 2, 587–601. MR4709079

Krishnan, Priya G.; Vaithiyanathan, Ravichandran; Saikrishnan, Ponnaiah. Radius problem associated with certain ratios and linear combinations of analytic functions. Math. Slovaca 74 (2024), no. 4, 877–894. MR4785238

Kumar, Sushil; Pandey, Rakesh Kumar; Rai, Pratima. Certain sharp estimates of Ozaki close-to-convex functions. Asian-Eur. J. Math. 17 (2024), no. 6, Paper No. 2450047, 15 pp. MR4770532

Naz, Adiba; Nagpal, Sumit; Ravichandran, V.  Exponential radii of starlikeness and convexity of some special functions. Ramanujan J. 65 (2024), no. 1, 391–427. MR4789402 

Raj, Ankur; Nagpal, Sumit. Stable close-to-convexity and radius of full convexity for sense-preserving harmonic mappings. Rocky Mountain J. Math.  54 (2024), no. 5, 525–540 . MR4743451

Saliu, Afis; Jabeen, Kanwal; Ravichandran, V. Differential subordination for certain strongly starlike functions. Rend. Circ. Mat. Palermo (2) 73 (2024), no. 1, 1–18. MR4693310

Sebastian, Asha; Ravichandran, V. Criteria for starlikeness using schwarzian derivatives. J. Anal. 32 (2024), no. 4, 1973–1990. MR4778966

Sharma, Meghna; Jain, Naveen Kumar; Kumar, Sushil. Starlikeness of analytic functions using special functions and subordination. Bol. Soc. Mat. Mex. (3) 30 (2024), no. 2, Paper No. 55, 19 pp. MR4751712

Yadav, Shalu; Ravichandran, V. Sufficient conditions for analytic functions to be starlike of reciprocal order. Honam Math. J. 46 (2024), no. 1, 120–135. MR4711717

Ahuja, Om P.; Çetinkaya, Asena; Jain, Naveen Kumar. Analytic functions with conic domains associated with certain generalized $q$-integral operator. Commun. Korean Math. Soc. 38 (2023), no. 4, 1111–1126. MR4725913

Ali, Rosihan M.; Kumar, Sushil; Ravichandran, Vaithiyanathan. The third Hermitian-Toeplitz and Hankel determinants for parabolic starlike functions. Bull. Korean Math. Soc. 60 (2023), no. 2, 281--291. MR4569312

Anand, Swati; Jain, Naveen Kumar; Kumar, Sushil. Normalized analytic functions with fixed second coefficient. J. Anal. 31 (2023), no. 3, 1917–1938. MR4620979

Krishnan, Priya G.; Ravichandran, V.; Saikrishnan, P. Radius of Ma-Minda starlikeness of certain normalised analytic functions. Filomat 37 (2023), no. 13, 4125–4153. MR4576571 

Krishnan, Priya G.; Ravichandran, Vaithiyanathan; Saikrishnan, Ponnaiah. Functions subordinate to the exponential function. Commun. Korean Math. Soc. 38 (2023), no. 1, 163--178. MR4542630 

Kumar, Sushil; Rai, Pratima; Cetinkaya, Asena. Bound on Hankel determinants $H^{(2)}_4(f)$ and $H^{(3)}_4(f)$ for lemniscate starlike functions. Honam Math. J. 45 (2023), no. 1, 92--108. MR4548232 

Madhumitha, S.; Ravichandran, V. Differential subordination for analytic and meromorphic multivalent functions. Asian-Eur. J. Math. 16 (2023), no. 7, Paper No. 2350124, 15 pp. MR4613484 

Malik, Somya; Ravichandran, V. Starlikeness of a product of starlike functions with non-vanishing polynomials. Anal. Math. Phys. 13 (2023), no. 2, Paper No. 28. MR4560555 

Malik, Somya; Ravichandran, V. Schwarzian derivative and convexity of order $\alpha$. J. Anal. 31 (2023), no. 1, 201--228. MR4554000 

Madhumitha, Saravanarasu; Ravichandran, Vaithiyanathan. Sufficient conditions for starlikeness of reciprocal order. Korean J. Math. 31 (2023), no. 3, 243–258. MR4663073

Naz, Adiba; Nagpal, Sumit; Ravichandran, V. Geometric properties of generalized Bessel function associated with the exponential function. Math. Slovaca 73 (2023), no. 6, 1459–1478. MR4678552

Rai, Pratima; Kumar, Sushil. Coefficient inequalities for a subfamily of Sakaguchi functions. Asian-Eur. J. Math. 16 (2023), no. 5, Paper No. 2350084, 15 pp. MR4574698 

Ravichandran, V.; Krishnan, Priya G. Starlike and convex univalent functions. Math. Newsl. 33 (2023), no. 3-4, 20–44. MR4623669

Sebastian, Asha; Ravichandran, Vaithiyanathan. Radius of starlikeness through subordination. Stud. Univ. Babeş-Bolyai Math. 68 (2023), no. 1, 161--170. MR4568286 

Sharma, Kanika; Aghalary, Rasoul; Ravichandran, V. Briot-Bouquet differential subordination and Bernardi's integral operator. Southeast Asian Bull. Math. 47 (2023), no. 4, 573–589. MR4623721 

Sharma, Meghna; Kumar, Sushil; Jain, Naveen Kumar. Differential subordination implications for certain Carathéodory functions. Stud. Univ. Babeş-Bolyai Math. 68 (2023), no. 4, 775–787. MR4680073 

Ahmad El-Faqeer, Ahmad Sulaiman; Haji Mohd, Maisarah; Supramaniam, Shamani; Ravichandran, Vaithiyanathan. Radius of starlikeness of functions defined by ratios of analytic functions. Appl. Math. E-Notes 22 (2022), 516--528. MR4496256 

Ahuja, Om; Çetinkaya, Asena; Jain, Naveen Kumar. Mittag-Leffler operator connected with certain subclasses of Bazilevic̆ functions. J. Math. 2022, Art. ID 2065034, 7 pp. MR4371989 

Anand, Swati; Jain, Naveen Kumar; Kumar, Sushil. Certain estimates of normalized analytic functions. Math. Slovaca 72 (2022), no. 1, 85--102. MR4382733

Beig, Subzar; Ravichandran, Vaithiyanathan. Directional convexity of combinations of harmonic half-plane and strip mappings. Commun. Korean Math. Soc. 37 (2022), no. 1, 125--136. MR4415591 

Cho, Nak Eun; Kumar, Sushil; Kumar, Virendra. Hermitian-Toeplitz and Hankel determinants for certain starlike functions. Asian-Eur. J. Math. 15 (2022), no. 3, Paper No. 2250042, 16 pp. MR4404194

Gandhi, Shweta; Gupta, Prachi; Nagpal, Sumit; Ravichandran, V. Starlike functions associated with an epicycloid. Hacet. J. Math. Stat. 51 (2022), no. 6, 1637--1660. MR4510346 

Kanaga, R.; Ravichandran, V. Radius of Limaçon starlikeness for Janowski starlike functions. Asian-Eur. J. Math. 15 (2022), no. 9, Paper No. 2250164, 13 pp. MR4478088

Kanaga, R.; Ravichandran, V. Starlikeness associated with crescent-shaped region. Anal. Math. Phys. 12 (2022), no. 6, Paper No. 132, 23 pp. MR4493249 

Krishnan, Priya G.; Saikrishnan, P.; Ravichandran, V. Boundedness of analytic functions in the unit disc using the theory of differential subordination. Asian-Eur. J. Math. 15 (2022), no. 11, Paper No. 2250189, 19 pp. MR4498521 

Kumar, Sushil; Çetinkaya, Asena. Coefficient inequalities for certain starlike and convex functions. Hacet. J. Math. Stat. 51 (2022), no. 1, 156--171. MR4384265

Kumar, Sushil; Kumar, Virendra. Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes. Commun. Korean Math. Soc. 37 (2022), no. 4, 1041--1053. MR4505561 

Kumar, Virendra; Nagpal, Sumit; Cho, Nak Eun. Coefficient functionals for non-Bazilevič functions. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), no. 1, Paper No. 44, 14 pp. MR4344855 

Kumar, Virendra; Kumar, Sushil; Cho, Nak Eun. Coefficient functionals for starlike functions of reciprocal order. Thai J. Math. 20 (2022), no. 3, 1183--1197. MR4524772 

Malik, Somya; Ravichandran, Vaithiyanathan. On functions starlike with respect to $n$-ply symmetric, conjugate and symmetric conjugate points. Commun. Korean Math. Soc. 37 (2022), no. 4, 1025--1039. MR4505560 

Malik, Somya; Ali, Rosihan M.; Ravichandran, V. The Booth lemniscate starlikeness radius for Janowski starlike functions. Bull. Malays. Math. Sci. Soc. 45 (2022), no. 5, 2715--2732. MR4489586 

Naz, Adiba; Kumar, Sushil; Ravichandran, V. Coefficient functionals and radius problems of certain starlike functions. Asian-Eur. J. Math. 15 (2022), no. 5, Paper No. 2250089, 19 pp. MR4429683 

Raj, Ankur; Nagpal, Sumit. Radius of convexity for analytic part of sense-preserving harmonic mappings. Bull. Malays. Math. Sci. Soc. 45 (2022), no. 5, 2665--2679. MR4489583

Ravichandran, V.; Nagpal, Sumit. A survey on univalent functions with fixed second coefficient. Math. Newsl. 33 (2022), no. 1, 17--28. MR4518875

Sharma, Meghna; Kumar, Sushil; Jain, Naveen Kumar. Differential subordinations for functions with positive real part using admissibility conditions. Asian-Eur. J. Math. 15 (2022), no. 4, Paper No. 2250066, 22 pp. MR4412430 

Srivastava, H. M.; Kumar, Sushil; Kumar, Virendra; Cho, Nak Eun. Hermitian-Toeplitz and Hankel determinants for starlike functions associated with a rational function. J. Nonlinear Convex Anal. 23 (2022), no. 12, 2815--2833. MR4524975 

Yadav, Shalu; Sharma, Kanika; Ravichandran, V. Radius of starlikeness for some classes containing non-univalent functions. Asian-Eur. J. Math. 15 (2022), no. 1, Paper No. 2250009, 15 pp. MR4366394  

Ahuja, Om P.; Khatter, Kanika; Ravichandran, V. Symmetric Toeplitz determinants associated with a linear combination of some geometric expressions. Honam Math. J. 43 (2021), no. 3, 465--481. MR4331706 

Ahuja, Om P.; Khatter, Kanika; Ravichandran, Vaithiyanathan. Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions. Iran. J. Sci. Technol. Trans. A Sci. 45 (2021), no. 6, 2021--2027. MR4329220 

Ahuja, Om; Bohra, Nisha; Çetinkaya, Asena; Kumar, Sushil. Univalent functions associated with the symmetric points and cardioid-shaped domain involving $(p,q)$-calculus. Kyungpook Math. J. 61 (2021), no. 1, 75--98. MR4233998 

Ali, Rosihan M.; Ravichandran, Vaithiyanathan; Sharma, Kanika. Starlikeness of analytic functions with subordinate ratios. J. Math. 2021, Art. ID 8373209, 8 pp. MR4335617

Anand, Swati; Jain, Naveen Kumar; Kumar, Sushil. Sharp Bohr radius constants for certain analytic functions. Bull. Malays. Math. Sci. Soc. 44 (2021), no. 3, 1771--1785. MR4241333

Anand, Swati; Kumar, Sushil; Ravichandran, V. Differential subordination for Janowski functions with positive real part. Stud. Univ. Babeş-Bolyai Math. 66 (2021), no. 3, 457--470. MR4325644 

Bohra, Nisha; Kumar, Sushil; Ravichandran, V. Applications of Briot-Bouquet differential subordination. J. Class. Anal. 18 (2021), no. 1, 17--28. MR4364719 

Bohra, Nisha; Kumar, Sushil; Ravichandran, V. Applications of Briot-Bouquet differential subordination. J. Class. Anal. 18 (2021), no. 1, 17--28. MR4364719 

Gupta, Prachi; Nagpal, Sumit; Ravichandran, Vaithiyanathan. Inclusion relations and radius problems for a subclass of starlike functions. J. Korean Math. Soc. 58 (2021), no. 5, 1147--1180. MR4303808 

Gupta, Prachi; Nagpal, Sumit; Ravichandran, V. Marx-Strohhäcker theorem for multivalent functions. Afr. Mat. 32 (2021), no. 7-8, 1421--1434. MR4327479

Kanaga, R.; Ravichandran, V. Starlikeness for certain close-to-star functions. Hacet. J. Math. Stat. 50 (2021), no. 2, 414--432. MR4250959 

Kumar, Sushil; Rai, Pratima; Çetinkaya, Asena. Radius estimates of certain analytic functions. Honam Math. J. 43 (2021), no. 4, 627--639. MR4345176 

Kumar, Virendra; Kumar, Sushil. Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions. Bol. Soc. Mat. Mex. (3) 27 (2021), no. 2, Paper No. 55, 16 pp. MR4266686 

Lecko, Adam; Ravichandran, V.; Sebastian, Asha. Starlikeness of certain non-univalent functions. Anal. Math. Phys. 11 (2021), no. 4, Paper No. 163, 23 pp. MR4314116 

Madaan, Vibha; Kumar, Ajay; Ravichandran, V. Estimates for initial coefficients of certain bi-univalent functions. Filomat 35 (2021), no. 6, 1993--2009. MR4364050 

Madhumitha, S.; Ravichandran, V. Radius of starlikeness of certain analytic functions. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 115 (2021), no. 4, Paper No. 184, 18 pp. MR4311694 

Raj, Ankur; Nagpal, Sumit; Ravichandran, V. On the product of planar harmonic mappings. Comput. Methods Funct. Theory 21 (2021), no. 3, 427--452. MR4299907 

Sebastian, Asha; Ravichandran, V. Radius of starlikeness of certain analytic functions. Math. Slovaca 71 (2021), no. 1, 83--104. MR4216806 

Sharma, Kanika; Cho, Nak Eun; Ravichandran, V. Sufficient conditions for strong starlikeness. Bull. Iranian Math. Soc. 47 (2021), no. 5, 1453--1475. MR4308874 

Anand, Swati; Kumar, Sushil; Ravichandran, V. First-order differential subordinations for Janowski starlikeness. Mathematical analysis. I. Approximation theory, 185--196, Springer Proc. Math. Stat., 306, Springer, Singapore, [2020], 2020. MR4099175 

Jain, Naveen Kumar; Yadav, Shalu. Bohr radius for certain analytic functions. Mathematical analysis. I. Approximation theory, 211--221, Springer Proc. Math. Stat., 306, Springer, Singapore, [2020], 2020. MR4099177 

Khatter, Kanika; Ravichandran, V.; Sivaprasad Kumar, S. Third Hankel determinant of starlike and convex functions. J. Anal. 28 (2020), no. 1, 45--56. MR4077300 

Kumar, Virendra; Kumar, Sushil; Ravichandran, V. Third Hankel determinant for certain classes of analytic functions. Mathematical analysis. I. Approximation theory, 223--231, Springer Proc. Math. Stat., 306, Springer, Singapore, [2020], 2020. MR4099178 

Lee, See Keong; Khatter, Kanika; Ravichandran, V. Radius of starlikeness for classes of analytic functions. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 6, 4469--4493. MR4166151 

Madaan, Vibha; Kumar, Ajay; Ravichandran, V. Radii of starlikeness and convexity of some entire functions. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 6, 4335--4359. MR4166143 

Naz, Adiba; Nagpal, Sumit; Ravichandran, V. Exponential starlikeness and convexity of confluent hypergeometric, Lommel, and Struve functions. Mediterr. J. Math. 17 (2020), no. 6, Paper No. 204, 22 pp. MR4172977

Ahuja, Om P.; Beig, Subzar; Ravichandran, V. Univalent harmonic functions generated by Ruscheweyh derivatives of analytic functions. Acta Univ. Apulensis Math. Inform. No. 59 (2019), 13--24. MR4024486 

Ahuja, Om P.; Cetinkaya, Asena; Ravichandran, V. Harmonic univalent functions defined by post quantum calculus operators. Acta Univ. Sapientiae Math. 11 (2019), no. 1, 5--17. MR3995733 

Ali, Rosihan M.; Jain, Naveen Kumar; Ravichandran, Vaithiyanathan. Bohr radius for classes of analytic functions. Results Math. 74 (2019), no. 4, Paper No. 179, 13 pp. MR4025539 

Beig, Subzar; Ravichandran, V. Convolution and convex combination of harmonic mappings. Bull. Iranian Math. Soc. 45 (2019), no. 5, 1467--1486. MR4020725 

Bohra, Nisha; Kumar, Sushil; Ravichandran, V. Some special differential subordinations. Hacet. J. Math. Stat. 48 (2019), no. 4, 1017--1034. MR4025222 

Cho, Nak Eun; Kumar, Sushil; Kumar, Virendra; Ravichandran, V. Convolution and radius problems of analytic functions associated with the tilted Caratheodory functions. Math. Commun. 24 (2019), no. 2, 165--179. MR3984508 

Cho, Nak Eun; Kumar, Virendra; Kumar, S. S.; Ravichandran, V. Radius problems for starlike functions associated with the sine function. Bull. Iranian Math. Soc. 45 (2019), no. 1, 213--232. MR3913990 

Cho, Nak Eun; Kumar, Virendra; Ravichandran, V. Arc length for Janowski classes. An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 65 (2019), no. 1, 91--105. MR4036432 

Cho, Nak Eun; Kumar, Virendra; Ravichandran, V. A survey on coefficient estimates for Caratheodory functions. Appl. Math. E-Notes 19 (2019), 370--396. MR3980747 

Khatter, Kanika; Ravichandran, V.; Sivaprasad Kumar, S. Starlike functions associated with exponential function and the lemniscate of Bernoulli. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), no. 1, 233--253. MR3902942 

Kumar, Virendra; Cho, Nak Eun; Ravichandran, V.; Srivastava, H. M. Sharp coefficient bounds for starlike functions associated with the Bell numbers. Math. Slovaca 69 (2019), no. 5, 1053--1064. MR4017390 

Madaan, Vibha; Kumar, Ajay; Ravichandran, V. Lemniscate convexity of generalized Bessel functions. Studia Sci. Math. Hungar. 56 (2019), no. 4, 404--419. MR4048763 

Madaan, Vibha; Kumar, Ajay; Ravichandran, V. Starlikeness associated with lemniscate of Bernoulli. Filomat 33 (2019), no. 7, 1937--1955. MR4036351 

Naz, Adiba; Nagpal, Sumit; Ravichandran, V. Star-likeness associated with the exponential function. Turkish J. Math. 43 (2019), no. 3, 1353--1371. MR3962536 

Ahuja, Om P.; Kumar, Sushil; Ravichandran, V. Applications of first order differential subordination for functions with positive real part. Stud. Univ. Babeş-Bolyai Math. 63 (2018), no. 3, 303--311. MR3864361 

Beig, Subzar; Ravichandran, V. Directional convexity of harmonic mappings. Bull. Malays. Math. Sci. Soc. 41 (2018), no. 2, 1045--1060. MR3781557 

Bohra, Nisha; Ravichandran, V. Radii problems for normalized Bessel functions of first kind. Comput. Methods Funct. Theory 18 (2018), no. 1, 99--123. MR3764714 

Cho, Nak Eun; Kumar, Sushil; Kumar, Virendra; Ravichandran, V. Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate. Turkish J. Math. 42 (2018), no. 3, 1380--1399. MR3804996 

Gandhi, Shweta; Kumar, Sushil; Ravichandran, V. First order differential subordinations for Caratheodory functions. Kyungpook Math. J. 58 (2018), no. 2, 257--270. MR3841762

Kumar, Sushil; Ravichandran, V. Subordinations for functions with positive real part. Complex Anal. Oper. Theory 12 (2018), no. 5, 1179--1191. MR3800966 

Ahuja, Om P.; Nagpal, Sumit; Ravichandran, V. A technique of constructing planar harmonic mappings and their properties. Kodai Math. J. 40 (2017), no. 2, 278--288. MR3680562 

Alarifi, Najla M.; Ali, Rosihan M.; Ravichandran, V. On the second Hankel determinant for the $k$th-root transform of analytic functions. Filomat 31 (2017), no. 2, 227--245. MR3628835 

Ali, Rosihan M.; Kumar, Virendra; Ravichandran, V.; Sivaprasad Kumar, Shanmugam. Radius of starlikeness for analytic functions with fixed second coefficient. Kyungpook Math. J. 57 (2017), no. 3, 473--492. MR3722703 

Bohra, N.; Ravichandran, V. On confluent hypergeometric functions and generalized Bessel functions. Anal. Math. 43 (2017), no. 4, 533--545. MR3738359 

Bohra, Nisha; Ravichandran, V. Schwarzian derivative and Janowski convexity. Stud. Univ. Babeş-Bolyai Math. 62 (2017), no. 2, 197--204. MR3660536 

Cho, Nak Eun; Jain, Naveen Kumar; Ravichandran, V. Convex combination of analytic functions. Open Math. 15 (2017), no. 1, 331--339. MR3630146 

Gandhi, Shweta; Ravichandran, V. Starlike functions associated with a lune. Asian-Eur. J. Math. 10 (2017), no. 4, 1750064, 12 pp. MR3718233 

Khatter, Kanika; Ravichandran, V.; Kumar, S. Sivaprasad. Janowski starlikeness and convexity. Proc. Jangjeon Math. Soc. 20 (2017), no. 4, 623--639. MR3751589 

Kumar, S.; Ravichandran, V. Functions defined by coefficient inequalities. Malays. J. Math. Sci. 11 (2017), no. 3, 365--375. MR3747395 

Kumar, S.; Ravichandran, V.; Verma, S. Initial coefficients of starlike functions with real coefficients. Bull. Iranian Math. Soc. 43 (2017), no. 6, 1837--1854. MR3773507 

Ravichandran, V.; Verma, Shelly. Estimates for coefficients of certain analytic functions. Filomat 31 (2017), no. 11, 3539--3552. MR3670865 

Ravichandran, V.; Verma, Shelly. Generalized Zalcman conjecture for some classes of analytic functions. J. Math. Anal. Appl. 450 (2017), no. 1, 592--605. MR3606184 

Verma, Shelly; Ravichandran, V. Radius problems for ratios of Janowski starlike functions with their derivatives. Bull. Malays. Math. Sci. Soc. 40 (2017), no. 2, 819--840. MR3620283