Jackson Differential Operator Associated with Generalized Mittag-Leffler Function

被引：4

作者：

Attiya, Adel A. ^{[1
,2
]}

Yassen, Mansour F. ^{[3
,4
]}

Albaid, Abdelhamid ^{[5
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Aflaj, Dept Math, Al Aflaj 11912, Saudi Arabia

[4] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt

[5] Univ Hail, Coll Sci, Dept Phys, Hail 81451, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 05期

关键词：

Mittag-Leffler function; Jackson differential operator; quantum calculus; analytic functions; univalent functions; subordination relation; differential subordination; operators in geometric function theory; Fekete-Szego function; Gaussian hypergeometric function; CONIC DOMAINS; SUBCLASS; HARDY;

D O I：

10.3390/fractalfract7050362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena. In our paper and using quantitative calculus, we introduce a new family of normalized analytic functions in the open unit disk, which relates to both the generalized Mittag-Leffler function and the Jackson differential operator. By using a differential subordination virtue, we obtain some important properties such as coefficient bounds and the Fekete-Szego problem. Some results that represent special cases of this family that have been studied before are also highlighted.

引用

页数：16

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