Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator
Year: 2018
Author: Dong Guo, Zongtao Li, Liangpeng Xiong
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 184–192
Abstract
By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szegö inequalities for the meromorphic function f(z) for which α−1+α{1+z[lImf(z)]″[lImf(z)]′}z[lImf(z)]′lImf(z) ≺φ(z) (α∈C−{12,1}).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.02.11
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 184–192
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: analytic and meromorphic function starlike and convex function hypergeometric function Fekete-Szegö problem Dziok-Srivastava operator Hadamard product