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

被引：38

作者：

Khan, Qaiser ^{[2
]}

Arif, Muhammad ^{[2
]}

Raza, Mohsan ^{[3
]}

Srivastava, Gautam ^{[4
,5
]}

Tang, Huo ^{[1
]}

Rehman, Shafiq Ur ^{[6
]}

机构：

[1] Chifeng Univ, Sch Math & Comp Sci, Chifeng 024000, Peoples R China

[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan 23200, Pakistan

[3] Govt Coll Univ Faisalabad, Dept Math, Faisalabad 38000, Pakistan

[4] Brandon Univ, Dept Math & Comp Sci, 270 18th St, Brandon, MB R7A 86A9, Canada

[5] China Med Univ, Res Ctr Interneural Comp, Taichung 40402, Taiwan

[6] COMSATS Univ Islamabad, Dept Math, Attock 43600, Pakistan

来源：

MATHEMATICS | 2019年 / 7卷 / 12期

关键词：

p-valent analytic function; Hadamard product; q-integral operator; CLOSE-TO-CONVEXITY; STARLIKE FUNCTIONS; ANALYTIC-FUNCTIONS; FAMILY;

D O I：

10.3390/math7121178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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