Book:
Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao,
Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69,
De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1.
Manuscripts under review:
U. Pranav Kumar and A. Vasudevarao, Sharp logarithmic coefficient inequalities of univalent functions.
Published/Accepted Papers:
1) Molla Basir Ahamed and Vasudevarao Allu, On an open problem of value sharing and differential equations, Proceedings of the Edinburgh Mathematical Society (2024) (Accepted for publication). Impact Factor: 0.7
2) Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture, Annali di Matematica Pura ed Applicata (1923 -) (2024). DOI: https://doi.org/10.1007/s10231-024-01461-z Impact Factor: 1.0
3) Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society 67 (2024), 113-141. DOI: https://doi.org/10.1017/S0013091523000688 Impact Factor: 0.7
4) Molla Basir Ahamed and Vasudevarao Allu, Dynamical behavior of meromorphic solutions for certain complex difference equations, Contemporary Mathematics (American Mathematical Society) (2024) (Accepted for publication)
5) Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum (2024) DOI: https://doi.org/10.1515/forum-2023-0425 Impact Factor: 1.0
6) Vasudevarao Allu and Abhishek Pandey, Neargeodesics in Gromov hyperbolic John domains in Banach spaces, Annales Fennici Mathematici 49 (2024), 473-485. DOI: https://doi.org/10.54330/afm.146829 Impact Factor: 0.9
7) Vasudevarao Allu and Navneet Lal Sharma, On logarithmic coefficients for classes of analytic functions associated with convex functions, Bulletin des Sciences Mathématiques 191 (2024) Paper No. 103384, 16 pp. DOI: https://doi.org/10.1016/j.bulsci.2024.103384 Impact Factor: 1.3
8) Vasudevarao Allu and Amal Shaji, The sharp bound of the second Hankel determinant of logarithmic coefficients for starlike and convex functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication) Impact Factor: 0.6
9) Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, An Asymptotic behaviour of Bohr's Radii for Polynomials on simply connected domains, C. R. Math. Acad. Sci. Paris (2024) (Accepted for publication). Impact Factor: 0.8
10) Vasudevarao Allu and Amal Shaji, The second Hankel determinant for logarithmic inverse coefficients of convex and starlike functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication) Impact Factor: 0.6
11) Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica (Accepted for publication) (2024) Impact Factor: 0.6
12) Vasudevarao Allu and Vibhuti Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions, Rocky Mountain Journal of Mathematics 54(2) (2024), 343-359. DOI: https://doi.org/10.1216/rmj.2024.54.343 Impact Factor: 0.481
13) Vasudevarao Allu and Rohit Kumar, Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings, Journal of Mathematical Analysis and Applications 535 (2024), Paper No. 128215, 13 pp. DOI: https://doi.org/10.1016/j.jmaa.2024.128215 Impact Factor: 1.2
14) Vasudevarao Allu and Himadri Halder, Landau's theorem for harmonic Bloch functions on simply connected domains, Complex Variables and Elliptic Equations (2024) DOI: https://doi.org/10.1080/17476933.2023.2298834 Impact Factor: 0.6
15) Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society 39 (2024), 143-161. Impact Factor: 0.3
16) Molla Basir Ahamed and Vasudeva Rao Allu, Transcendental solutions of Fermat-type functional equations in $ \mathbb{C}^n $, Analysis and Mathematical Physics 13 (2023), no.5, Paper No. 69, 17 pp. DOI: https://doi.org/10.1007/s13324-023-00828-4 Impact Factor: 1.4
17) Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin 66 (2023), 1411-1422.
DOI: http://dx.doi.org/10.4153/S0008439523000541 Impact Factor: 0.5
18) Molla Basir Ahamed and Vasudevarao Allu, Harmonic analogue of Bohr phenomenon of certain classes of univalent and analytic functions, Mathematica Scandinavica 129 (2023), 481-506. DOI: https://doi.org/10.7146/math.scand.a-139645 Impact Factor: 0.3
19) Vasudevarao Allu and Nirupam Ghosh, Bohr type inequality for Cesaro and Bernardi integral operator on simply connected domain, Proceedings of the Indian Academy Of Science (Math. Sci.) 133 (2023), no.2, Paper No. 22, 10 pp. DOI: https://doi.org/10.1007/s12044-023-00741-7 Impact Factor: 0.3
20) Vasudeavarao Allu, Vibhuti Arora and Amal Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics 20 (2023), no. 2, Paper No. 81, 10 pp. DOI: DOI: https://doi.org/10.1007/s00009-023-02272-x Impact Factor: 1.1
21) Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski radius for a certain class of close-to-convex harmonic mappings, Canadian Mathematical Bulletin 66(3) (2023), 1014 – 1029. DOI: https://doi.org/10.4153/S0008439523000115 Impact Factor: 0.5
22) Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, Improved Bohr inequalities for certain class of harmonic univalent functions, Complex Variables and Elliptic Equations 68 (2023), 267--290. DOI: https://doi.org/10.1080/17476933.2021.1988583 Impact Factor: 0.6
23) Vasudevarao Allu, Himadri Halder and Subhadip Pal, Bohr and Rogosinski inequalities for operator valued holomorphic functions, Bulletin des Sciences Mathématiques 182 (2023) 103214. DOI: https://doi.org/10.1016/j.bulsci.2022 Impact Factor: 1.3
24) Vasudevarao Allu and Vibhuti Arora, Bohr-Rogosinski type inequalities for concave univalent functions, Journal of Mathematical Analysis and Applications 520 (2023) no.1, Paper No. 126845, 14 pp. DOI: https://doi.org/10.1016/j.jmaa.2022.126845 Impact Factor: 1.2
25) Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis, (2022) 32:152 , DOI: https://doi.org/10.1007/s12220-022-00895-2 Impact Factor: 1.2
26) Vasudevarao Allu and Himadri Halder, Operator valued analogues of multidimensional Bohr's inequality, Canadian Mathematical Bulletin 65 (2022), 1020--1035. DOI: https://doi.org/10.4153/S0008439521001077 Impact Factor: 0.5
27) Vasudevarao Allu and Himadri Halder, The Bohr inequality for certain harmonic mappings, Indagationes Mathematicae 33 (2022), 581--597. DOI: https://doi.org/10.1016/j.indag.2021.12.004 Impact Factor: 0.5
28) Vasudevarao Allu and Himadri Halder, Bohr phenomenon for certain close-to-convex analytic functions, Computational Methods and Function Theory 22 (2022), 491--517. DOI: https://doi.org/10.1007/s40315-021-00412-6 Impact Factor: 0.6
29) Molla Basir Ahamed and Vasudevarao Allu, Bohr phenomenon for certain classes of harmonic mappings, Rocky Mountain Journal of Mathematics 52 (2022), 1205-1225. DOI: https://doi.org/10.1216/rmj.2022.52.1205 Impact Factor: 0.481
30) Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-II, Bulletin of the Australian Mathematical Society 105 (2022), 468 -- 481. DOI: https://doi.org/10.1017/S0004972721000964 Impact Factor: 0.6
31) Vasudevarao Allu, Adam Lecko and Derek Keith Thomas, Hankel, Toeplitz and Hermitian-Toeplitz determinants for certain Close-to-convex Functions, Mediterranean Journal of Mathematics 19 (2022), no. 1, Paper No. 22, 17, DOI: https://doi.org/10.1007/s00009-021-01934-y Impact Factor: 1.1
32) Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), 1913--1927. DOI: https://doi.org/10.1007/s40840-022-01271-7 Impact Factor: 1.0
33) Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-I, Computational Methods and Function Theory 22 (2022), 35--54. DOI: https://doi.org/10.1007/s40315-021-00362-z Impact Factor: 0.6
34) Vasudevarao Allu and Himadri Halder, The Bohr phenomenon for certain Subclasses of Harmonic Mappings, Bulletin des Sciences Mathématiques 173 (2021), Paper No. 103053, 18 pp., DOI: https://doi.org/10.1016/j.bulsci.2021.103053 Impact Factor: 1.3
35) Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, The Bohr Phenomenon for analytic functions on simply connected domains, Annales Fennici Mathematici 47(2021), 103--120. DOI: https://doi.org/10.54330/afm.112561 Impact Factor: 0.9
36) Molla Basir Ahamed, Vasudevarao Allu, and Himadri Halder, Bohr radius for certain classes of close-to-convex harmonic mappings, Analysis and Mathematical Physics 11 (2021), no. 3, Paper No. 111, 30 pp. DOI: https://doi.org/10.1007/s13324-021-00551-y Impact Factor: 1.4
37) Vasudevarao Allu and Abhishek Pandey, Support points of some classes of analytic and univalent functions, C. R. Math. Acad. Sci. Paris 359 (2021), 465--473. DOI: https://doi.org/10.5802/crmath.181 Impact Factor: 0.8
38) Vasudevarao Allu and Himadri Halder, Bohr radius for certain starlike and convex univalent functions, Journal of Mathematical Analysis and Applications 493 (2021), 124519. DOI: https://doi.org/10.1016/j.jmaa.2020.124519 Impact Factor: 1.2
39) Vasudevarao Allu and Abhishek Pandey, Zalcman Conjecture for certain analytic and univalent functions, Journal of Mathematical Analysis and Applications 492 (2020), 124466. DOI:https://doi.org/10.1016/j.jmaa.2020.124466 Impact Factor: 1.2
40) Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh, A convolution property of univalent harmonic right half mappings, Monatshefte für Mathematik 193 (2020),729-736. DOI: https://doi.org/10.1007/s00605-020-01442-3 Impact Factor: 0.8
41) Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, On a class of univalent functions defined by a differential inequality, Journal of Ramanujan Mathematical Society 35 (2020), 217-226. Impact Factor: 0.3
42) Vasudevarao Allu, Janusz Sokol and Derek K Thomas, On a close-to-convex analogue of certain starlike functions, Bulletin of the Australian Mathematical Society 102 (2020), 268-281. DOI: https://doi.org/10.1017/S0004972719001606 Impact Factor: 0.6
43) Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101 (2020), 130--140. DOI: https://doi.org/10.1017/S0004972719000698 Impact Factor: 0.6
44) Md Firoz Ali and Vasudevarao Allu, Coefficient estimates and integral mean estimates for certain classes of analytic functions, C. R. Math. Acad. Sci. Paris 357 (2019), 436-442. DOI: http://dx.doi.org/10.1016/j.crma.2019.04.013 Impact Factor: 0.8
45) Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653--666. DOI: https://doi.org/10.1007/s00605-018-1163-1 Impact Factor: 0.8
46) Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188 (2019), 247--267. DOI: https://link.springer.com/article/10.1007/s00605-017-1138-7 Impact Factor: 0.8
47) Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99 (2019), 89--100. DOI: https://doi.org/10.1017/S0004972718000989 Impact Factor: 0.6
48) Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18 (2018), 677--688. DOI: https://doi.org/10.1007/s40315-018-0249-z Impact Factor: 0.6
49) Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao, Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1
50) Md Firoz Ali and A. Vasudevarao, On Certain Families of Analytic Functions in the Hornich Space, Computational Methods and Function Theory 18 (2018), 643--659. DOI: https://doi.org/10.1007/s40315-018-0244-4 Impact Factor: 0.6
51) Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687--1703. DOI: https://doi.org/10.1080/17476933.2017.1403426 Impact Factor: 0.6
52) U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187 (2018), 545--563. DOI: https://doi.org/10.1007/s00605-017-1092-4 Impact Factor: 0.8
53) Md Firoz Ali, D. K. Thomas, and A. Vasudevarao, Toeplitz determinants whose elements are the coefficients of analytic and univalent functions, Bulletin of the Australian Mathematical Society 97(2) (2018), 253--264. DOI: https://doi.org/10.1017/S0004972717001174 Impact Factor: 0.6
54) Md Firoz Ali and A. Vasudevarao, On logarithmic coefficients of some close-to-convex functions, Proceedings of the American Mathematical Society 146(3) (2018), 1131--1142. DOI: http://dx.doi.org/10.1090/proc/13817 Impact Factor: 0.8
55) Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228--237. DOI: https://doi.org/10.1017/S0004972716000897 Impact Factor: 0.6
56) Md Firoz Ali and A. Vasudevarao, On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions, Proceedings of the Indian Academy Of Science (Math. Sci.) 127(3) (2017), 449--462. DOI: https://doi.org/10.1007/s12044-017-0328-5 Impact Factor: 0.6
57) Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318. DOI: https://doi.org/10.2298/FIL1711307G Impact Factor: 0.8
58) A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065—1070. DOI: https://doi.org/10.1016/j.crma.2016.09.008 Impact Factor: 0.8
59) M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044—1051. DOI: https://doi.org/10.1002/mana.201500027 Impact Factor: 0.8
60) Md Firoz Ali and A. Vasudevarao, Coefficient inequalities and Yamashitas conjecture for some classes of analytic functions, Journal of the Australian Mathematical Society 100(1) (2016), 1--20. DOI: https://doi.org/10.1017/S1446788715000336 Impact Factor: 0.5
61) A.Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937—1943. DOI: https://doi.org/10.4134/BKMS.2015.52.6.1937 Impact Factor: 0.6
62) Md Firoz Ali and A. Vasudevarao, Integral Means and Dirichlet integral for certain class of analytic function, Journal of the Australian Mathematical Society 99(3)(2015), 315--333. DOI: https://doi.org/10.1017/S1446788715000154 Impact Factor: 0.5
63) A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192. Impact Factor: 0.3
64) A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149. Impact Factor: 0.7
65) A. Vasudevarao, Region of variability for some subclasses of univalent functions, Springer Proc. Math. Stat. 91 (2013), 151—170. DOI: https://doi.org/10.1007/978-81-322-1952-1_10
66) A. Vasudevarao and Hiroshi Yanagihara, On the growth of analytic functions in the class ${mathcal U}(lambda )$, Computational Methods and Function Theory 13(4) (2013), 613--634. DOI: https://doi.org/10.1007/s40315-013-0045-8 Impact Factor: 0.6
67) S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955--966. DOI: https://doi.org/10.1007/s11785-010-0089-y Impact Factor: 0.7
68) S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3) (2010), 225--245. DOI: 10.4064/ap99-3-2 Impact Factor: 0.7
69) S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions-II, Applied Mathematics and Computation 215(3) (2009), 901--915. DOI: https://doi.org/10.1016/j.amc.2009.06.012 Impact Factor: 3.5
70) S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities, Complex Variables and Elliptic Equations 54(10) (2009), 899--922. DOI: https://doi.org/10.1080/17476930802657616 Impact Factor: 0.6
71) S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point, Colloquium Mathematicum 116(1) (2009), 31--46. DOI: 10.4064/cm116-1-3 Impact Factor: 0.4
72) S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability of univalent functions $ f(z)$ for which $ zf'(z)$ is spirallike, The Houston Journal of Mathematics 34(4) (2008), 1037--1048. Impact Factor: 0.2
73) S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions, Complex Variables and Elliptic Equations 53(8) (2008), 709 -- 716. DOI: https://doi.org/10.1080/17476930801996346 Impact Factor: 0.6
74) S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, The Journal of Mathematical Analysis and Applications 332 (2007), 1323--1334. DOI: https://doi.org/10.1016/j.jmaa.2006.11.019 Impact Factor: 1.2