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AIMS Mathematics

2020, Volume 5, Issue 2: 1462-1475. doi: 10.3934/math.2020100
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Research article

Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel F3

  • 1.
    Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India
  • 2.
    Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia
  • 3.
    Department of Mathematics, Ankara 06790, Cankaya University, Turkey
  • 4.
    Institute of Space Sciences, Magurele-Bucharest, Romania
  • Received: 25 September 2019 Accepted: 08 January 2020 Published: 21 January 2020

  • MSC : 33C20, 33B15

  • In this article our main object to compute image formulas of generalized fractional hypergeometric operators, involving the product of multivariable Srivastava polynomial and multiindex Bessel function. The results obtained provide unification and an extension of known results given earlier by Agarwal and Nieto [1], Agarwal et al. [2] Mishra et al. [18], Saxena and Saigo [26], Suthar et al. [32]. We also consider certain special cases of derived results by specializing suitable value of the parameters.

    Citation: Owais Khan, Nabiullah Khan, Kottakkaran Sooppy Nisar, Mohd. Saif, Dumitru Baleanu. Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel F3[J]. AIMS Mathematics, 2020, 5(2): 1462-1475. doi: 10.3934/math.2020100

    Related Papers:

  • In this article our main object to compute image formulas of generalized fractional hypergeometric operators, involving the product of multivariable Srivastava polynomial and multiindex Bessel function. The results obtained provide unification and an extension of known results given earlier by Agarwal and Nieto [1], Agarwal et al. [2] Mishra et al. [18], Saxena and Saigo [26], Suthar et al. [32]. We also consider certain special cases of derived results by specializing suitable value of the parameters.


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