New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains

In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains. We investigate the number of useful properties such that structural formu...

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Bibliographic Details
Published inJournal of function spaces Vol. 2022; pp. 1 - 9
Main Authors Noor, Saima, Razzaque, Asima
Format Journal Article
LanguageEnglish
Published New York Hindawi 05.04.2022
Hindawi Limited
Subjects
Analytic functions
Calculus
Convex analysis
Differential equations
Domains
Mathematical analysis
Operators (mathematics)
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Summary:In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains. We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/8796837