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http://dx.doi.org/10.4134/CKMS.c190268

COEFFICIENT BOUNDS FOR CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN  

Bulut, Serap (Faculty of Aviation and Space Sciences Kocaeli University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 789-797 More about this Journal
Abstract
By considering a certain univalent function in the open unit disk 𝕌, that maps 𝕌 onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.
Keywords
Analytic functions; close-to-convex functions; coefficient bounds; subordination; non-homogeneous Cauchy-Euler differential equation;
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