Publications

Selected Publications:

1. Vasudevarao Allu and Alan P Jose, Uniformization of intrinsic Gromov hyperbolic spaces with Busemann functions, Mathematical Proceedings of the Cambridge Philosophical Society (Accepted for publication) (2026)

2. Vasudevarao Allu and Subhadip Pal,  On multidimensional Bohr radii for Banach spaces,  Journal of Operator Theory (Accepted for publication) (2025)

3. Molla Basir Ahamed and Vasudevarao Allu, On an open problem of value sharing and differential equations, Proceedings of the Edinburgh Mathematical Society  68(2025), 1110 - 1136.

4. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum 37 (2025), 987--995. https://doi.org/10.1515/forum-2023-0425

5. Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society 67 (2024), 113-141.

6. Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture, Annali di Matematica Pura ed Applicata (1923 -)  203 (2024), 2665-2675.

7. Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis  32(2022) Paper No. 152, 18 pp.

8. 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.

9. 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.

10. M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044--1051

Book (Research Monograph):

• 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

Complete List of Publications:

1. Vasudevarao Allu and Alan P Jose, Uniformization of intrinsic Gromov hyperbolic spaces with Busemann functions, Mathematical Proceedings of the Cambridge Philosophical Society (Accepted for publication) (2026)

2. Vasuevarao Allu and  Shobhit Kumar, The third Hankel determinant for inverse coefficients of convex functions, Bulletin of the Australian Mathematical Society (Accepted for publication) (2026)

3. Vasudevarao Allu, Raju Biswas and Rajib Mandal, Pre-Schwarzian norm estimate for certain classes of analytic functions, Complex Analysis and its Synergies (Accepted for publication) 12, 19 (2026). https://doi.org/10.1007/s40627-026-00196-2

4. Vasudevarao Allu and Alan P Jose, Uniformization of Intrinsic Gromov Hyperbolic Spaces, Computational Methods and Function Theory (to be published) (2026)

5. Vasudevarao Allu and Subhadip Pal,  On multidimensional Bohr radii for Banach spaces,  Journal of Operator Theory (Accepted for publication) (2025)

6. Vasudevarao Allu, Raju Biswas and Rajib Mandal, Bohr type inequalities for certain integral operators and transforms on shifted disks, Analysis and Mathematical Physics 16, 15 (2026). https://doi.org/10.1007/s13324-026-01163-0

7. Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, The Journal of Analysis (2026) https://doi.org/10.1007/s41478-025-01025-1

8. Vasudevarao Allu and Alan P Jose, On Invariance of John Domains under Quasisymmetric Mappings,  Computational Methods and Function Theory (to be published) (2026)

9. Vasudevarao Allu, Raju Biswas and Rajib Mandal, Improved Bohr-type inequalities for the Cesaro operator, Complex Variables and Elliptic Equations (Accepted for publication) (2025)

10. Molla Basir Ahamed, Vasudevarao Allu and  Rajesh Hossain, Pre-Schwarzian and Schwarzian norm estimates for certain classes of analytic functions, Monatshefte für Mathematik (2025), https://doi.org/10.1007/s00605-025-02140-8

11. Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, Bohr inequalities for the class of unimodular bounded functions on shifted disks, Bulletin des Sciences Mathématiques 199 (2025),  Paper No. 103577, 21 pp. 

12. 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  363(2025), 1047-1058

13. Vasudevarao Allu, Raju Biswas and Rajib Mandal, The Bohr's Phenomenon involving multiple Schwarz functions, Journal of Mathematical Analysis and Applications 553 (2026) 129965

14. Molla Basir Ahamed and Vasudevarao Allu, On an open problem of value sharing and differential equations, Proceedings of the Edinburgh Mathematical Society  68(2025), 1110 - 1136.

15. Vasudevarao Allu and Rohit Kumar, The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $mathbb{C}^n$, Annales Fennici Mathematici 50 (2025), 215-229.

16. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum 37 (2025), 987--995. https://doi.org/10.1515/forum-2023-0425

17. Molla Basir Ahamed and Vasudevarao Allu, Dynamical behavior of meromorphic solutions for certain complex difference equations, Contemporary Mathematics (American Mathematical Society) 820 (2025), 215--225. ISBN: 978-1-4704-7634-2; [9781470479459]

18. 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 112 (2025), 163-171.

19. Vasudevarao Allu and Amal Shaji, ​Moduli difference of inverse logarithmic coefficients of univalent functions, Journal of Mathematical Analysis and Applications 546 (2026)  Paper No. 129217, 17 pp.

20. Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica 51 (2025), 35-62.

21. Vasudevarao Allu and Amal Shaji, The second Hankel determinant for logarithmic inverse coefficients of convex and starlike functions, Bulletin of the Australian Mathematical Society 111 (1) (2025), 128-139.

22. Vasudevarao Allu and Himadri Halder, Landau's theorem for harmonic Bloch functions on simply connected domains, Complex Variables and Elliptic Equations 70 (2025), 213--227.

23. Vasudevarao Allu and Vibhuti Arora, On the difference of Initial Successive coefficients of Inverse functions, Bulletin of the Malaysian Mathematical Sciences Society 48, 144 (2025), 15 pp.

24. Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society 67 (2024), 113-141.

25. Vasudevarao Allu and Vibhuti Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions, Rocky Mountain Journal of Mathematics  54  (2024), 343-359.

26. Vasudevarao Allu and Abhishek Pandey, Neargeodesics in Gromov hyperbolic John domains in Banach spaces, Annales Fennici Mathematici  49(2024), 473-485.

27. Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture, Annali di Matematica Pura ed Applicata (1923 -)  203 (2024), 2665-2675.

28. 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.

29. 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.

30. Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society  39 (2024), 143-161.

31. 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.

32. Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin 66 (2023), 1411-1422.

33. 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.

34. Vasudevarao Allu and Nirupam Ghosh, Bohr type inequality for Cesaro and Bernardi integral operator on simply connected domain, Proc. Indian Acad. Sci. 133(2023), no.2, Paper No. 22, 10 pp.

35. 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), Paper No. 81, 10 pp

36. 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.

37. Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski radius for a certain class of close-to-convex harmonic mappings, Canadian Mathematical Bulletin 66 (2023), 1014-1029.

38. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Bohr and Rogosinski inequalities for operator valued holomorphic functions, Bulletin des Sciences Mathématiques 182 (2023) 103214.

39. 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.

40. Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis  32(2022) Paper No. 152, 18 pp.

41. Vasudevarao Allu and Himadri Halder, Operator valued analogues of multidimensional Bohr's inequality, Canadian Mathematical Bulletin 65 (2022), 1020-1035.

42. Vasudevarao Allu and Himadri Halder, The Bohr inequality for certain harmonic mappings, Indagationes Mathematicae 33 (2022), 581--597.

43. Vasudevarao Allu and Himadri Halder, Bohr phenomenon for certain close-to-convex analytic functions, Computational Methods and Function Theory 22 (2022), 491--517.

44. Molla Basir Ahamed and Vasudevarao Allu, Bohr phenomenon for certain classes of harmonic mappings, Rocky Mountain Journal of Mathematics 52(2022), 1205-1225.

45. 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.

46. 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.

47. 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.

48. 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.

49. Vasudevarao Allu and Himadri Halder, The Bohr phenomenon for certain Subclasses of Harmonic Mappings, Bulletin des Sciences Mathématiques 173 (2021), Paper No. 103053, 18

50. 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.

51. 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

52. 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.

53. Vasudevarao Allu and Himadri Halder, Bohr radius for certain starlike and convex univalent functions, Journal of Mathematical Analysis and Applications 493(2021), 124519.

54. Vasudevarao Allu and Abhishek Pandey, Zalcman Conjecture for certain analytic and univalent functions, Journal of Mathematical Analysis and Applications 492(2020), 124466.

55. Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh, A convolution property of univalent harmonic right half mappings, Monatshefte für Mathematik 193(2020),729-736.

56. 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.

57. 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.

58. Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101(2020), 130--140.

59. 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.

60. Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653--666.

61. Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188(2019), 247--267.

62. Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99(2019), 89--100.

63. Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18(2018), 677--688.

64. 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

65. 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.

66. Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687--1703.

67. Md Firoz Ali, Allu Vasudevarao and Derek K. Thomas, On the third logarithmic coefficient close-to-convex functions, A. Lecko(ed), Current research in Mathematical
    and Computer Sciences-II Publisher UWM, Olsztyn (2018), 271-278. ISBN-978-83-8100-170-0.

68. Vasudevarao Allu and Derek K. Thomas, The logarithmic coefficients of univalent functions, Current research in Mathematical and Computer Sciences-II A. Lecko(ed), Current research in Mathematical and Computer Sciences-II Publisher UWM, Olsztyn (2018), 257-269. ISBN-978-83-8100-170-0.

69. U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187(2018), 545--563.

70. 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.

71. 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.

72. Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228--237.

73. 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.

74. Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318.

75. A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065--1070,

76. M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044--1051

77. 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.

78. A.Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937--1943

79. 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.

80. A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192.

81. A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149.

82. A. Vasudevarao, Region of variability for some subclasses of univalent functions, Springer Proc. Math. Stat. 91 (2013), 151--170,

83. 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.

84. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955--966.

85. S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3)(2010), 225--245.

86. 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.

87. 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.

88. 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.

89. 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.

90. 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.

91. 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.