Open AccessSome geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function
Author(s) -
Sarem H. Hadi,
Maslina Darus,
Choonkil Park,
Jung Rye Lee
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022656
Subject(s) - mathematics , subordination (linguistics) , subclass , function (biology) , pure mathematics , mittag leffler function , operator (biology) , differential operator , generalized function , differential (mechanical device) , mathematical analysis , fractional calculus , physics , chemistry , philosophy , linguistics , biochemistry , repressor , evolutionary biology , gene , transcription factor , antibody , immunology , biology , thermodynamics
In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced. Some geometric properties of them are obtained. Furthermore, the radii for the aforementioned subclass associated with a generalized Srivastava-Attiya integral operator are also studied.