HARMONIC MULTIVALENT FUNCTIONS ASSOCIATED WITH AN EXTENDED GENERALIZED LINEAR OPERATOR OF NOOR-TYPE

Hiba F. Al-Janaby, F. Ghanim, Muhammad Zaini Ahmad

Abstract


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.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea