A generalized multiparameter function of Mittag-Leffler type

被引：4
|
作者：
Kalla, S. L. [1 ]
Haidey, V. [2 ]
Virchenko, N. [2 ]
机构：
[1] Vyas Inst Higher Educ, Inst Math, Jodhpur 342008, Rajasthan, India
[2] Natl Tech Univ Ukraine KPI, Dept Math & Phys, Kiev, Ukraine
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 12期
关键词：
generalized Mittag-Leffler; hypergeometric; differential equation; integral equation; Cauchy problem; recurrence formula; Laplace transform; operators;
D O I：
10.1080/10652469.2011.648381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define and study a generalized multiparameter function of Mittag-Leffler type. Some special cases and basic properties including its Mellin-Barnes-type integral representation, recurrence relation, and expansion are given. The Laplace transform and the first Sonine integral of the generalized function are evaluated. Differential and integral equations with the Erdelyi-Kober operator are established. The Cauchy problem for the multiparameter differential equation is formulated and its solution is obtained.
引用
收藏
页码：901 / 911
页数：11
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