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Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

  • Received: 20 March 2021 Accepted: 11 May 2021 Published: 28 May 2021
  • MSC : 26A33, 33B15, 33C20, 44A20

  • 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

    Related Papers:

  • 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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