Improved Bloch and Landau constants for meromorphic functions
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1269-1273
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Let ${\mathbb D}$ be the open unit disk, and let $\mathcal {A}(p)$ be the class of functions f that are holomorphic in ${\mathbb D}\backslash \{p\}$ with a simple pole at $z=p\in (0,1)$, and $f'(0)\neq 0$. In this article, we significantly improve lower bounds of the Bloch and the Landau constants for functions in ${\mathcal A}(p)$ which were obtained in Bhowmik and Sen (2023, Monatshefte für Mathematik, 201, 359–373) and conjecture on the exact values of such constants.
Bhowmik, Bappaditya; Sen, Sambhunath. Improved Bloch and Landau constants for meromorphic functions. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1269-1273. doi: 10.4153/S0008439523000346
@article{10_4153_S0008439523000346,
author = {Bhowmik, Bappaditya and Sen, Sambhunath},
title = {Improved {Bloch} and {Landau} constants for meromorphic functions},
journal = {Canadian mathematical bulletin},
pages = {1269--1273},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000346},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000346/}
}
TY - JOUR AU - Bhowmik, Bappaditya AU - Sen, Sambhunath TI - Improved Bloch and Landau constants for meromorphic functions JO - Canadian mathematical bulletin PY - 2023 SP - 1269 EP - 1273 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000346/ DO - 10.4153/S0008439523000346 ID - 10_4153_S0008439523000346 ER -
%0 Journal Article %A Bhowmik, Bappaditya %A Sen, Sambhunath %T Improved Bloch and Landau constants for meromorphic functions %J Canadian mathematical bulletin %D 2023 %P 1269-1273 %V 66 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000346/ %R 10.4153/S0008439523000346 %F 10_4153_S0008439523000346
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