In this work, we apply generalized Saigo fractional differential and integral operators having $ k $-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform. The novelty and the generalization of the obtained results are shown by relating them with existing literature as special cases.
Citation: Saima Naheed, Shahid Mubeen, Thabet Abdeljawad. Fractional calculus of generalized Lommel-Wright function and its extended Beta transform[J]. AIMS Mathematics, 2021, 6(8): 8276-8293. doi: 10.3934/math.2021479
In this work, we apply generalized Saigo fractional differential and integral operators having $ k $-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform. The novelty and the generalization of the obtained results are shown by relating them with existing literature as special cases.
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Saima Naheed, Shahid Mubeen, Thabet Abdeljawad. Fractional calculus of generalized Lommel-Wright function and its extended Beta transform[J]. AIMS Mathematics, 2021, 6(8): 8276-8293. doi: 10.3934/math.2021479
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