Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator

Authors

  • Dong Guo Foundation Department, Chuzhou Vocational and Technical College, Chuzhou, Anhui, 239000
  • Zongtao Li Foundation Department, Guangzhou Civil Aviation College, Guangzhou, 510403
  • Liangpeng Xiong School of Mathematics and Statistics, Wuhan University, Wuhan, 430072

DOI:

https://doi.org/10.13447/j.1674-5647.2018.02.11

Keywords:

analytic and meromorphic function, starlike and convex function, hypergeometric function, Fekete-Szegö problem, Dziok-Srivastava operator, Hadamard product

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 $\alpha-\dfrac{1+\alpha\bigg\{1+\dfrac{z[_lI_mf(z)]''}{[_lI_mf(z)]'}\bigg\}}{\dfrac{z[_lI_mf(z)]'}{_lI_mf(z)}}$ $\prec\varphi (z)$ $\Big(\alpha\in{\bf C}-\Big\{\dfrac{1}{2},\,1\Big\}\Big)$.


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Published

2019-12-16

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Issue

Vol. 34 No. 2 (2018)

Section

Articles

How to Cite

Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator. (2019). Communications in Mathematical Research, 34(2), 184-192. https://doi.org/10.13447/j.1674-5647.2018.02.11