Distributional Representation of a Special Fox–Wright Function with an Application




Tassaddiq, Asifa
Srivastava, Rekha
Kasmani, Ruhaila M.
Almutairi, Dalal K.

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A review of the literature demonstrates that the Fox–Wright function is not only a mathematical puzzle, but its role is naturally to represent basic physical phenomena. Motivated by this fact, we studied a new representation of this function in terms of complex delta functions. This representation was useful to compute its Laplace transform with respect to the third parameter γ for which it also generalizes the one and two-parameter Mittag-Leffler functions. New identities involving the Fox–Wright function were discussed and used to simplify the results. Different fractional transforms were evaluated and the solution of a fractional kinetic equation was obtained by using its new representation. Several new properties of this function were discussed as a distribution.



Fox-Wright function, Mittag-Leffler function, fractional images, H-function, kinetic equation


Tassaddiq, A., Srivastava, R., Kasmani, R. M., & Almutairi, D. K. (2023). Distributional Representation of a Special Fox–Wright Function with an Application. Mathematics, 11(15), 3372. https://doi.org/10.3390/math11153372