On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator

被引：6

作者：

Abdulnaby, Zainab E. ^{[1
]}

Ibrahim, Rabha W. ^{[2
]}

Kilicman, Adem ^{[1
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor, Malaysia

[2] Univ Malaya, Fac Comp Sci & Informat Technol, Kuala Lumpur 50603, Malaysia

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2018年 / 30卷 / 02期

关键词：

Analytic functions; Univalent functions; Srivastava-Owa fractional derivative operator; Generalized differential operator; Weighted mu-Bloch space; Convolution (or Hadamard product); HYPERGEOMETRIC-FUNCTIONS; FAMILIES;

D O I：

10.1016/j.jksus.2016.09.010

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The purpose of this present effort is to define a new fractional differential operator I-z(beta,tau,gamma), involving Srivastava-Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness and compactness of analytic and univalent functions on weighted mu-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.

引用

页码：153 / 157

页数：5

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