This paper deals with the evaluate of the fractional integrals involving Saigo operators of the product of the Srivastava's polynomials and the ℵ-function containing the factor x λ (x k + c k) −ρ in its argument. Some interesting special cases are derived. The results given by Chaurasia and Gupta [1] and Saigo and Raina [11] follow as special cases of the results proved in this paper.
In this paper, we present several composition formulae of pathway fractional integral operators connected with S-function. Here, we point out important links to known outcomes for some specific cases with our key results.
In this study, the S-function is applied to Saigo’s
k
-fractional order integral and derivative operators involving the
k
-hypergeometric function in the kernel; outcomes are described in terms of the
k
-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the
S
-function, are also listed.
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