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

Qaiser Khan, Muhammad Arif, Mohsan Raza, Gautam Srivastava, Huo Tang and Shafiq ur Rehman
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Qaiser Khan: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Gautam Srivastava: Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, MB R7A 86A9, Canada
Huo Tang: School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
Shafiq ur Rehman: Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan

Mathematics, 2019, vol. 7, issue 12, 1-13

Abstract: 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.

Keywords: p -valent analytic function; Hadamard product; q -integral operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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