CERTAIN PROPERTIES ON MEROMORPHIC FUNCTIONS DEFINED BY A NEW LINEAR OPERATOR INVOLVING THE MITTAG-LEFFLER FUNCTION

被引：0

作者：

Al-khafaji, Aqeel Ketab ^{[1
]}

Wanas, Abbas Kareem ^{[2
]}

机构：

[1] Univ Babylon, Coll Educ Pure Sci, Dept Math, Babylon 51002, Iraq

[2] Univ Al Qadisiyah, Coll Sci, Dept Math, Al Diwaniyah, Al Qadisiyah, Iraq

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 03期

关键词：

Linear operator; basic hypergeometric function; meromorphic function; Mittag-Leffler function; coefficient inequality; convex linear combination; growth and distortion theorem; extreme points; Hadamard product;

D O I：

10.46793/KgJMat2403.473AK

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our paper introduces a new linear operator using the convolution between a Mittag-Leffler Function and basic hypergeometric function. Use of the linear operator creates a new class of meromorphic functions defined in the punctured open unit disk. Consequently, the paper examines different aspects Apps and assets like, extreme points, coefficient inequality, growth and distortion. In conclusion, the work discusses modified Hadamard product and closure theorems.

引用

页码：473 / 483

页数：11

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