Introduces the bicomplex Prabhakar function, establishes its convergence, integral representations, recurrence relations, differential properties, Laplace and Mellin transforms, and applies it to solve a unified fractional kinetic equation.
E., Shapiro, M., Struppa, D
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Prabhakar function and unified fractional kinetic equation in bicomplex space
Introduces the bicomplex Prabhakar function, establishes its convergence, integral representations, recurrence relations, differential properties, Laplace and Mellin transforms, and applies it to solve a unified fractional kinetic equation.