Sufficient conditions for strongly Carath\'eodory functions
Hitoshi Shiraishi, Shigeyoshi Owa, H. M. Srivastava
TL;DR
This paper explores sufficient conditions for strongly Carathéodory functions within the unit disk, extending previous work on Carathéodory functions using the subordination principle.
Contribution
It introduces new sufficient conditions specifically for strongly Carathéodory functions, expanding the theoretical framework beyond classical Carathéodory functions.
Findings
Established new sufficient conditions for strongly Carathéodory functions
Extended the subordination principle to this class of functions
Provided theoretical insights into function class properties
Abstract
Applying the subordination principle for analytic functions in the open unit disk U, I. H. Kim and N. E. Cho (Comput. Math. Appl. 59(2010), 2067-2073) considered some sufficient conditions for Carath\'eodory functions. The purpose of this paper is to discuss some sufficient conditions for the class of strongly Carath\'eodory functions in U.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Meromorphic and Entire Functions