Decomposition of Generalized Mittag-Leffler Function and Its Properties

• 作者: Ajay Kumar Shukla Jyotindra C. Prajapati
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: GENERALIZED Mittag-Leffler FUNCTION BETA FUNCTION GAMMA FUNCTION INTEGRAL Representation
• 年，卷（期）: 2012,（1）
• 页码范围: 8-14
• 页数: 7页
• 分类号: O1

摘要

The principal aim of the paper is devoted to the study of some special properties of the Eα,βγ,q(Z) function for α =1/n . Authors defined the decomposition of the function Eα,βγ,q(Z) in the form of truncated power series as Equations (1.7), (1.8) and their various properties including Integral representation, Derivative, Inequalities and their several special cases are obtained. Some new results are also established for the function Eα,βγ,q(Z).