The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the <em>q</em>-convolution

The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the <em>q</em>-convolution

In this paper, we introduce a new class of analytic and bi-close-to-convex functions connected with q-convolution, which are defined in the open unit disk. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this subclass by using the Faber polynomial expansion method...

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Bibliographic Details
Main Authors: H. M. Srivastava, Sheza M. El-Deeb
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
analytic functions
univalent functions
bieberbach conjecture (de branges theorem)
carathéodory lemma
faber polynomial expansion
bi-close-to-convex functions
convolution of analytic functions
<i>q</i>-derivative (or <i>q</i>-difference) operator
<i>q</i>-convolution
poisson operator and pascal distribution operator
Online Access:https://www.aimspress.com/article/10.3934/math.2020454/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020454/fulltext.html

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