Fractional k-Calculus Approach to the Extended k-Type Hypergeometric Function
DOI:
https://doi.org/10.62298/advmath.15Keywords:
Extended k-Hypergeometric Function, k-Beta Function, Saigo k-Fractional CalculusAbstract
The primary objective of the present manuscript is to evaluate the left-sided and right-sided k-Saigo fractional dierentiation and integration of the extended k-hypergeometric function. The study employs Saigo k-type fractional operators, incorporating the k-hypergeometric function within the kernel, to the extended k-hypergeometric function. Additionally, the paper explores special cases associated with k- Riemann-Liouville fractional calculus operators.
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