A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions
Bilal Khan, H. M. Srivastava, Sama Arjika, Shahid Khan, Nazar Khan, Qazi Zahoor Ahmad
Abstract
Abstract In the present paper, by using the concept of convolution and q -calculus, we define a certain q -derivative (or q -difference) operator for analytic and multivalent (or p -valent) functions. This presumably new q -derivative operator is an extension of the known q -analogue of the Ruscheweyh derivative operator. We also give some interesting applications of this q -derivative operator for multivalent functions by using the method of differential subordination. Relevant connections with a number of earlier works on this subject are also pointed out.
Topics & Concepts
MathematicsGeneralizations of the derivativeOperator (biology)Differential operatorDerivative (finance)Convolution (computer science)Type (biology)Pure mathematicsPartial derivativeFractional calculusDiscrete mathematicsAlgebra over a fieldMathematical analysisComputer scienceTranscription factorGeneChemistryFinancial economicsArtificial neural networkEconomicsEcologyMachine learningRepressorBiologyBiochemistryAnalytic and geometric function theory