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A MODIFIED WRIGHT FUNCTION FOR CERTAIN GENERALIZED FRACTIONAL OPERATORS
1 : Dynamic of Engines and Vibroacoustic Laboratory, Univerty M'Hamed Bougara
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Department of Mathematics, University of M'hamed Bougara -
Algeria
The paper is devated to the study of a modified Wright function for certain generalized fractional operators,nowadays known as Bv,ρ (z). Conditions for the existence of Bv,ρ (z) are proved. The representation of the function in terms of the general Wright function denoted by Wλ,µ (z) and of the two related auxiliary function Fv(z), Mv(z) which depend on asingle parameter. Special cases, involving the Mittag−Leffler function and its generalizations, are considered. The obtained results imply more precisely the known results.
