@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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