Some fractional-calculus results involving the generalized Lommel-Wright and related functions

被引：8
|
作者：
Prieto, Ana Isolina
de Romero, Susana Salinas
Srivastava, H. M.
机构：
[1] Univ Zulia, Fac Ingn, Ctr Invest Matemat Aplicada, Maracaibo, Venezuela
[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
fractional calculus; generalized Lommel-Wright function; Fox-Wright Psi-function; Riemann-Liouville operator; Weyl operator; Cauchy-Goursat integral formula; Bessel function; G and H functions; generalized hypergeometric function;
D O I：
10.1016/j.aml.2006.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In many recent works, several authors have demonstrated the usefulness of fractional-calculus operators in many different directions. The main object of this work is to present a number of key results for the generalized Lommel-Wright and related functions involving the Riemann-Liouville, the Weyl, and such other fractional-calculus operators as those based upon the Cauchy-Goursat Integral Formula. Various particular cases and consequences of our main fractional-calculus results are also considered. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：17 / 22
页数：6
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