Some properties of a linear operator involving generalized Mittag-Leffler function
", Basem Aref Frasin, Tariq Al-Hawary, Feras Yousef
Abstract
This paper introduces a new class T +1;; ;k() of analytic functions which is dened by means of a linear operator involving generalized Mittag-Leer function H;;k(f). The results investigated in this paper include, some inclusion relation for function in the class T +1;; ;k() and also some subordination results of the linear operator H ;;k(f). Several consequences of our results are also pointed out.
Topics & Concepts
Subordination (linguistics)MathematicsOperator (biology)Linear mapMittag-Leffler functionClass (philosophy)Analytic functionFunction (biology)Pure mathematicsShift operatorMathematical analysisCompact operatorFractional calculusExtension (predicate logic)Computer scienceEvolutionary biologyChemistryRepressorLinguisticsBiochemistryArtificial intelligenceGeneTranscription factorPhilosophyProgramming languageBiologyAnalytic and geometric function theoryHolomorphic and Operator Theory