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Challab, K.A.,Darus, M.,Ghanim, F. The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.2
The aim of this paper is to investigate the Fekete $Szeg{\ddot{o}}$ inequality for subclass of analytic functions defined by convolution between generalized Al-Oboudi differential operator and Srivastava-Attiya integral operator. Further, application to fractional derivatives are also given.
F. GHANIM 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.2
The purpose of the present paper is to introduce several new classes of meromorphic functions f(z) defined by the linear operator for the generalized hypergeometric function and investigate various inclusion properties of these classes. Also, some interesting applications are considered.
HARMONIC MULTIVALENT FUNCTIONS ASSOCIATED WITH AN EXTENDED GENERALIZED LINEAR OPERATOR OF NOOR-TYPE
Al-Janaby Hiba F.,Ghanim F.,Ahmad Muhammad Zaini 경남대학교 기초과학연구소 2019 Nonlinear Functional Analysis and Applications Vol.24 No.2
This paper introduces a new extended generalized linear operator of Noor-type of harmonic multivalent functions correlated with Fox-Wright generalized hypergeometric functions (FWGH). Moreover, a certain subclass of harmonic multivalent functions, which include this new formulation of the operator, is posed. In this study, an attempt has also been made to investigate several geometric properties such as coefficient condition and by showing the significance of this condition for the negative coefficient, growth bounds, extreme points, convolution property, convex linear combination, and a class-preserving integral operator.
NEW SUBCLASS OF MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH HYPERGEOMETRIC FUNCTION
Mohamed A. Khadr,Ahmed M. Ali,F. GHANIM 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.3
As hypergeometric meromorphic multivalent functions of the form\begin{equation*}L^{t,\rho }_{\varpi,\sigma }f(\zeta )=\frac{{ 1}}{{\zeta }^{\rho }}+\sum^{\infty }_{\kappa =0}{\frac{(\varpi)_{\kappa +{ 2}}}{(\sigma )_{\kappa +{ 2}}}\ \ .\ \ \frac{(\rho -(\kappa +{ 2}\rho )t)\ }{\rho }a_{\kappa +\rho }{\zeta }^{\kappa +\rho }}\end{equation*}contains a new subclass in the punctured unit disk ${\Sigma}^{S,D}_{\varpi,\sigma}\left(t,\kappa ,\rho \right)$ for $-1\le D <S\le 1$, this paper aims to determine sufficient conditions, distortion properties and radii of starlikeness and convexity for functions in the subclass $L^{t,\rho }_{\varpi,\sigma }f(\zeta )$.