Fractional Calculus of the Generalized Wright Function

Kilbas, 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 -