Abstract
AbstractLet
${\mathbb D}$
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.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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