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The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the q-convolution
Journal article   Open access  Peer reviewed

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

H. M. Srivastava, Sheza M. El-Deeb and 2 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China
AIMS mathematics, Vol.5(6), pp.7087-7106
01/01/2020
DOI: https://doi.org/10.3934/math.2020454

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 coe fficients of the functions in this subclass by using the Faber polynomial expansion method. Several corollaries and consequences of our main results are also briefly indicated.
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https://doi.org/10.3934/math.2020454View
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