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On fuzzy differential subordination associated with $ q $-difference operator

Shujaat Ali Shah, Ekram E. Ali, Adriana Cătaş, Abeer M. Albalahi

2023AIMS Mathematics15 citationsDOIOpen Access PDF

Abstract

<abstract><p>This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the $ q $-Bernardi integral operator for certain classes is discussed.</p></abstract>

Topics & Concepts

Subordination (linguistics)MathematicsDifferential (mechanical device)Operator (biology)Pure mathematicsFuzzy logicDifferential operatorDifferential inclusionDiscrete mathematicsAlgebra over a fieldMathematical analysisComputer sciencePhysicsLinguisticsPhilosophyChemistryArtificial intelligenceGeneThermodynamicsTranscription factorBiochemistryRepressorAnalytic and geometric function theory