Fractional Calculus of the Generalized Wright Function


Autoria(s): Kilbas, Anatoly
Data(s)

27/08/2010

27/08/2010

2005

Resumo

Mathematics Subject Classification: 26A33, 33C20.

The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-Liouville fractional integrals and derivative of the Wright function are also the Wright functions but of greater order. Special cases are considered.

* The present investigation was partially supported by Belarusian Fundamental Research Fund.

Identificador

Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 113p-126p

1311-0454

http://hdl.handle.net/10525/1249

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Riemann-Liouville Fractional Integrals and Derivatives #Generalized Wright Function #Wright And Bessel-Maitland Functions
Tipo

Article