Search

In this article, we derive four theorems concerning the fractional integral image for the product of the q -analogue of general class of polynomials with the q -analogue of the I -functions. To illustrate our main results, we use q -fractional integrals of Erdélyi–Kober type and generalized Weyl type fractional operators. The study concludes with a variety of results that can be obtained by using the relationship between the Erdélyi–Kober type and the Riemann–Liouville q -fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q -fractional integrals. [ABSTRACT FROM AUTHOR]

In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V -function as the kernel. In addition, on account of V -function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve's function, Lommel's function, the Bessel function, Wright's generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters. [ABSTRACT FROM AUTHOR]

We present a generalized fractional integral formula associated with the product of a Srivastava's polynomials and the Aleph-function. The results are established of general character and provide extension of the results given recently by Sexana et al. On interpretation of common nature of Aleph-function, we can find a number of results involving special functions by providing particular values to the parameters. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators involving Appell function applied on the extended generalized Mittag-Leffler function (EGMLF). The results are expressed in terms of extended Wright function. As special cases, the corresponding assertions for Saigo and Erdelyi -Kober fractional operators are presented and also the effect of MSM fractional calculus operators on the another type of generalized Mittag-Leffler functions, extended confluent hypergeometric functions and extended Mittag-Leffler functions are studied. [ABSTRACT FROM AUTHOR]

The main object of the present article is to evaluate three definite integrals involving the H̄-function together with the general class of Srivastava's polynomials. Some known results follow as special cases of our findings. [ABSTRACT FROM AUTHOR]