Fractional Calculus of the Generalized Wright Function
Fractional Calculus of the Generalized Wright Function
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.
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
Riemann-Liouville Fractional Integrals and Derivatives, Wright And Bessel-Maitland Functions, Generalized Wright Function
Riemann-Liouville Fractional Integrals and Derivatives, Wright And Bessel-Maitland Functions, Generalized Wright Function
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