Some Applications of a New Integral Operator in q-Analog for Multivalent Functions

By Q. Khan, Muhammad Arif, Mohsan Raza, Gautam Srivastava, Huo Tang, S. Réhman. Mathematics, 2019

47 citations recorded by the source corpus.

This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions. These include distortion bounds, sufficiency criteria, extreme points, radius of both starlikness and convexity, weighted mean and partial sum for this newly defined subclass of multivalent functions are discussed. Various integral operators are obtained by putting particular values to the parameters used in the newly defined operator.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e36c4b79d47849f868e23919daeea8dabfa50d6b

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In Geometry and Topology

Citations in the corpus

Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions (2021, background): “With a view to providing incentive and motivation to the interested readers, we have chosen to include several recent works (see, for example, [17, 18, 21, 28, 33, 34, 39]), on various bi-univalent function classes as well as the ongoing usages of the q-calculus in the study of other analytic or mer”