Wright functions of the second kind and Whittaker functions

被引：0

作者：

Francesco Mainardi

Richard B. Paris

Armando Consiglio

机构：

[1] University of Bologna,Department of Physics and Astronomy

[2] & INFN,Division of Computing and Mathematics

[3] University of Abertay,Institut für Theoretische Physik und Astrophysik, and Würzburg

[4] Universität Würzburg,Dresden Cluster of Excellence ct.qmat

来源：

Fractional Calculus and Applied Analysis | 2022年 / 25卷

关键词：

Fractional calculus; Wright functions; Whittaker functions; Hypergeometric functions; Laplace transform; 26A33 (primary ); 30B10; 30E15; 33C20; 34E05; 41A60;

D O I：

暂无

中图分类号：

学科分类号：

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：17

共 15 条

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[2]

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[3]

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[4]

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[7]

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[8]

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[9]

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[10]

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