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Open AccessArticle

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

School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, MB R7A 86A9, Canada
Research Center for Interneural Computing, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1178;
Received: 15 August 2019 / Revised: 29 October 2019 / Accepted: 7 November 2019 / Published: 3 December 2019
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2019)
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. View Full-Text
Keywords: p-valent analytic function; Hadamard product; q-integral operator p-valent analytic function; Hadamard product; q-integral operator
MDPI and ACS Style

Khan, Q.; Arif, M.; Raza, M.; Srivastava, G.; Tang, H.; Rehman, S. Some Applications of a New Integral Operator in q-Analog for Multivalent Functions. Mathematics 2019, 7, 1178.

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