# Fractional Calculus of the Generalized Wright Function

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 2, page 113-126
- ISSN: 1311-0454

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topKilbas, Anatoly. "Fractional Calculus of the Generalized Wright Function." Fractional Calculus and Applied Analysis 8.2 (2005): 113-126. <http://eudml.org/doc/11279>.

@article{Kilbas2005,

abstract = {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.},

author = {Kilbas, Anatoly},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Riemann-Liouville Fractional Integrals and Derivatives; Generalized Wright Function; Wright And Bessel-Maitland Functions; Riemann-Liouville fractional integrals and derivatives},

language = {eng},

number = {2},

pages = {113-126},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Fractional Calculus of the Generalized Wright Function},

url = {http://eudml.org/doc/11279},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Kilbas, Anatoly

TI - Fractional Calculus of the Generalized Wright Function

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 2

SP - 113

EP - 126

AB - 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.

LA - eng

KW - Riemann-Liouville Fractional Integrals and Derivatives; Generalized Wright Function; Wright And Bessel-Maitland Functions; Riemann-Liouville fractional integrals and derivatives

UR - http://eudml.org/doc/11279

ER -

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