Wright functions of the second kind and Whittaker functions

被引：141

作者：

Mainardi, Francesco ^{[1
,2
]}

Paris, Richard B. ^{[3
]}

Consiglio, Armando ^{[4
,5
]}

机构：

[1] Univ Bologna, Dept Phys & Astron, Via Irnerio 46, I-40126 Bologna, Italy

[2] Ist Nazl Fis Nucl, Via Irnerio 46, I-40126 Bologna, Italy

[3] Univ Abertay, Div Comp & Math, Dundee DD1 1HG, Scotland

[4] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany

[5] Univ Wurzburg, Wurzburg Dresden Cluster Excellence ct qmat, D-97074 Wurzburg, Germany

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 03期

关键词：

Fractional calculus; Wright functions; Whittaker functions; Hypergeometric functions; Laplace transform;

D O I：

10.1007/s13540-022-00042-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the framework of higher transcendental functions, the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory and, in particular, in fractional diffusion processes. Here, these functions are compared with the well-known Whittaker functions in some special cases of fractional order. In addition, we point out two erroneous representations in the literature.

引用

页码：858 / 875

页数：18

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