A Class of Janowski-Type (p,q)-Convex Harmonic Functions Involving a Generalized q-Mittag–Leffler Function

Autor: Sarem H. Hadi, Maslina Darus, Alina Alb Lupaş
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Axioms, Vol 12, Iss 2, p 190 (2023)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms12020190
Popis: This research aims to present a linear operator Lp,qρ,σ,μf utilizing the q-Mittag–Leffler function. Then, we introduce the subclass of harmonic (p,q)-convex functions HTp,q(ϑ,W,V) related to the Janowski function. For the harmonic p-valent functions f class, we investigate the harmonic geometric properties, such as coefficient estimates, convex linear combination, extreme points, and Hadamard product. Finally, the closure property is derived using the subclass HTp,q(ϑ,W,V) under the q-Bernardi integral operator.
Databáze: Directory of Open Access Journals
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