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Volume 34, Issue 2
Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator

Dong Guo, Zongtao Li & Liangpeng Xiong

DOI: 10.13447/j.1674-5647.2018.02.11

Commun. Math. Res., 34 (2018), pp. 184-192.

Published online: 2019-12

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


  • Keywords

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

  • AMS Subject Headings

30C45, 30A20, 34A40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

gd791217@163.com (Dong Guo)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-184, author = {Guo , DongLi , Zongtao and Xiong , Liangpeng}, title = {Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {2}, pages = {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 $\alpha-\dfrac{1+\alpha\bigg\{1+\dfrac{z[_lI_mf(z)]''}{[_lI_mf(z)]'}\bigg\}}{\dfrac{z[_lI_mf(z)]'}{_lI_mf(z)}}$ $\prec\varphi (z)$ $\Big(\alpha\in{\bf C}-\Big\{\dfrac{1}{2},\,1\Big\}\Big)$.


}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.02.11}, url = {http://global-sci.org/intro/article_detail/cmr/13517.html} }
TY - JOUR T1 - Fekete-Szegö Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator AU - Guo , Dong AU - Li , Zongtao AU - Xiong , Liangpeng JO - Communications in Mathematical Research VL - 2 SP - 184 EP - 192 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.02.11 UR - https://global-sci.org/intro/article_detail/cmr/13517.html KW - analytic and meromorphic function, starlike and convex function, hypergeometric function, Fekete-Szegö problem, Dziok-Srivastava operator, Hadamard product AB -

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


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