Geodesic
Fractional Calculus of the Generalized Wright Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 113-126

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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.
Keywords: Riemann-Liouville Fractional Integrals and Derivatives, Generalized Wright Function, Wright And Bessel-Maitland Functions 
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     author = {Kilbas, Anatoly},
     title = {Fractional {Calculus} of the {Generalized} {Wright} {Function}},
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Kilbas, Anatoly. Fractional Calculus of the Generalized Wright Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 113-126. http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a1/