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Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function

Sarem H. Hadi, Maslina Darus, Choonkil Park, Jung Rye Lee

2022AIMS Mathematics19 citationsDOIOpen Access PDF

Abstract

<abstract><p>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.</p></abstract>

Topics & Concepts

MathematicsSubordination (linguistics)SubclassFunction (biology)Pure mathematicsMittag-Leffler functionOperator (biology)Differential operatorGeneralized functionDifferential (mechanical device)Mathematical analysisFractional calculusPhysicsChemistryThermodynamicsLinguisticsAntibodyBiochemistryRepressorPhilosophyTranscription factorEvolutionary biologyGeneBiologyImmunologyAnalytic and geometric function theoryMathematical Inequalities and Applications