Riemann-Liouville Fractional Integrals and Derivatives Generalized Wright Function Wright And Bessel-Maitland Functions
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 113p-126p
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.