Manuscripts under review:
Himadri Halder and Rohit Kumar, Gabriel's and Frazer's problems for weighted Bergman spaces and their applications, https://arxiv.org/abs/2607.13543
Himadri Halder and Rohit Kumar, Riesz Theorem and Riesz-Fejér inequality for weighted harmonic Bergman spaces with applications to Möbius invariant spaces, https://arxiv.org/abs/2607.11795
Himadri Halder, Vector valued pluriharmonic functions within the framework of local Banach space theory and their applications, preprint.
Himadri Halder, Arithmetic Bohr radius and local Banach space theory, https://arxiv.org/abs/2512.19411
Himadri Halder, Local Banach space theoretic approach to Bohr's theorem for vector valued holomorphic and pluriharmonic functions, https://arxiv.org/abs/2512.09091
Published/Accepted Papers:
Vasudevarao Allu, Himadri Halder and Subhadip Pal, Multidimensional Bohr radii for holomorphic functions with values in complex Banach spaces, Complex Analysis and Operator Theory, 20 (2026), Article no. 97. DOI: https://doi.org/10.1007/s11785-026-01952-2
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, DOI: https://doi.org/10.1016/j.bulsci.2025.103577
Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum 37 (2025), 987-995. DOI: https://doi.org/10.1515/forum-2023-0425
Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica 51 (2025), 35-62. DOI: https://doi.org/10.1007/s10476-025-00063-y
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. DOI: https://doi.org/10.5802/crmath.625
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. DOI: https://doi.org/10.1080/17476933.2023.2298834
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
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
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.2022.103214
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
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
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
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
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
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
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
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