[1] Abu-Muhanna Y, Ali R M, Ponnusamy S. On the Bohr inequality//Govil N K, Mohapatra R, Qazi M, Schmeisser G. Progress in Approximation Theory and Applicable Complex Analysis. Berlin: Springer, 2017, 117: 269-300
[2] Aizenberg L. Multidimensional analogues of Bohr's theorem on power series. Proc Amer Math Soc, 2000, 128: 1147-1155
[3] Aizenberg L, Aytuna A, Djakov P. Generalization of theorem on Bohr for bases in spaces of holomorphic functions of several complex variables. J Math Anal Appl, 2001, 258: 429-447
[4] Alkhaleefah S A, Kayumov I R, Ponnusamy S. On the Bohr inequality with a fixed zero coefficient. Proc Am Math Soc, 2019, 147(12): 5263-5274
[5] Alkhaleefah S A, Kayumov I R, Ponnusamy S.Bohr-Rogosinski inequalities for bounded analytic functions. Lobachevskii J Math, 2020, 41: 2110-2119
[6] Ahamed M B, Allu V, Halder H. The Bohr phenomenon for analytic functions on a shifted disk. Ann Fenn Math, 2022, 47: 103-120
[7] Ahamed M B, Allu V, Halder H. Improved Bohr inequalities for certain class of harmonic univalent functions. Complex Var Elliptic Equ, 2023, 68: 267-290
[8] Allu V, Arora V, Shaji A. On the second Hankel determinant of logarithmic coefficients for certain univalent functions. Mediterr J Math, 2023, 20: Art 81
[9] Allu V, Halder H. Bohr radius for certain classes of starlike and convex univalent functions. J Math Anal Appl, 2021, 493(1): 124519
[10] Allu V, Halder H. Bohr phenomenon for certain subclasses of harmonic mappings. Bull Sci Math, 2021, 173: 103053
[11] Allu V, Halder H. Bohr phenomenon for certain close-to-convex analytic functions. Comput Methods Funct Theory, 2022, 22: 491-517
[12] Allu V, Halder H. Bohr inequality for certain harmonic mappings. Indag Math, 2022, 33(3): 581-597
[13] Allu V, Arora V. Bohr-Rogosinski type inequalities for concave univalent functions. J Math Anal Appl, 2023, 520: 126845
[14] Biswas R. Second Hankel determinant of logarithmic coefficients for $\mathcal G(\alpha)$ and $\mathcal P(M)$. J Anal, 2024, 32: 3019-3037
[15] Bénéteau C, Dahlner A, Khavinson D. Remarks on the Bohr phenomenon. Comput Methods Funct Theory,2004, 4(1): 1-19
[16] Boas H P, Khavinson D. Bohr's power series theorem in several variables. Proc Amer Math Soc, 1997, 125(10): 2975-2979
[17] Bohr H. A theorem concerning power series. Proc London Math Soc, 1914, 13(2): 1-5
[18] Bombieri E. Sopra un teorema di H. Bohr e G. Ricci sulle funzioni maggioranti delle serie di potenze. Bolletino dell Unione Mat Ital, 1962, 17(3): 276282
[19] Bombieri E, Bourgain J. A remark on Bohr's inequality. Int Math Res Not, 2004, 80: 4307-4330
[20] Dai S Y, Pan Y F. Note on Schwarz-Pick estimates for bounded and positive real part analytic functions. Proc Amer Math Soc, 2008, 136: 635-640
[21] Defant A, Frerick L, Ortega-Cerdà J,et al. The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive. Ann Math,2011, 174(2): 512-517
[22] Duren P.Harmonic Mapping in the Plane. Cambridge: Cambridge University Press, 2004
[23] Evdoridis S, Ponnusamy S, Rasila A. Improved Bohr's inequality for locally univalent harmonic mappings. Indag Math (NS), 2019, 30: 201-213
[24] Evdoridis S, Ponnusamy S, Rasila A. Improved Bohr's inequality for shifted disks. Results Math, 2021, 76: Art 14
[25] Fournier R, Ruscheweyh S. On the Bohr radius for simply connected plane domains. CRM Proc Lect Notes, 2010, 51: 165-171
[26] Gamelin T W. Complex Analysis.New York: Springer-Verlag, 2000
[27] Garcia S R, Mashreghi J, Ross W T.Finite Blaschke Products and Their Connections. Cham: Springer, 2018
[28] Huang Y, Liu M S, Ponnusamy S. Refined Bohr-type inequalities with area measure for bounded analytic functions. Anal Math Phys, 2020, 10: Art 50
[29] Huang Y, Liu M S, Ponnusamy S. Bohr-type inequalities for harmonic mappings with a multiple zero at the origin. Mediterr J Math, 2021, 18: Art 75
[30] Ismagilov A, Kayumov I R, Ponnusamy S. Sharp Bohr type inequality. J Math Anal Appl, 2020, 489: 124147
[31] Kalaj D. Quasiconformal harmonic mapping between Jordan domains. Math Z, 2008, 260(2): 237-252
[32] Kayumov I R, Khammatova D M, Ponnusamy S. Bohr-Rogosinski phenomenon for analytic functions and Ces\'aro operators. J Math Anal Appl, 2021, 493(2): 124824
[33] Kayumov I R, Ponnusamy S.Bohr-Rogosinski radius for analytic functions. arXiv.1708.05585
[34] Kayumov I R, Ponnusamy S. Bohr inequality for odd analytic functions. Comput Methods Funct Theory, 2017, 17: 679-688
[35] Kayumov I R, Ponnusamy S. Improved version of Bohr's inequality. C R Math Acad Sci Paris, 2018, 356(3): 272-277
[36] Kayumov I R, Ponnusamy S. Bohr's inequalities for the analytic functions with Lacunary series and harmonic functions. J Math Anal Appl, 2018, 465: 857-871
[37] Kayumov I R, Ponnusamy S, Shakirov N. Bohr radius for locally univalent harmonic mappings. Math Nachr, 2018, 291: 1757-1768
[38] Krantz S G. Geometric Function Theory.Explorations in Complex Analysis. Boston: Birkhäuser, 2006
[39] Lewy H. On the non-vanishing of the Jacobian in certain one-to-one mappings. Bull Amer Math Soc, 1936, 42: 689-692
[40] Lin R Y, Liu M S, Ponnusamy S. The Bohr-type inequalities for holomorphic mappings with lacunary series in several complex variables. Acta Math Sci, 2023, 43: 63-79
[41] Liu G, Liu Z H, Ponnusamy S. Refined Bohr inequality for bounded analytic functions. Bull Sci Math, 2021, 173: 103054
[42] Liu G, Ponnusamy S. Improved Bohr inequality for harmonic mappings. Math Nachr, 2023, 296: 716-731
[43] Liu M S, Ponnusamy S, Wang J. Bohr's phenomenon for the classes of quasi-subordination and $K$-quasiregular harmonic mappings. RACSAM, 2020, 114(3): 115
[44] Liu Z H, Ponnusamy S.Bohr radius for subordination and $K$-quasiconformal harmonic mappings. Bull Malays Math Sci Soc, 2019, 42: 2151-2168
[45] Liu M S, Ponnusamy S.Multidimensional analogues of refined Bohr's inequality. Proc Amer Math Soc, 2021, 149: 2133-2146
[46] Liu M S, Shang Y M, Xu J F. Bohr-type inequalities of analytic functions. J Inequal Appl, 2018, 2018: Art 345
[47] Martio O. On harmonic quasiconformal mappings. Ann Acad Sci Fenn A I, 1968, 425: 3-10
[48] Mandal R, Biswas R, Guin S K. Geometric studies and the Bohr radius for certain normalized harmonic mappings. Bull Malays Math Sci Soc, 2024, 47: Art 131
[49] Ponnusamy S, Vijayakumar R, Wirths K J. New inequalities for the coefficients of unimodular bounded functions. Results Math, 2020, 75: Art 107
[50] Ponnusamy S, Wirths K J. Bohr type inequalities for functions with a multiple zero at the origin. Comput Methods Funct Theory, 2020, 20: 559-570
[51] Rogosinski W. Über Bildschranken bei Potenzreihen und ihren Abschnitten. Math Z,1923, 17: 260-276
[52] ST. Ruscheweyh, Two remarks on bounded analytic functions. Serdica1985, 11(2): 200-202