Certain fractional integral operators pertaining to S-function. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Suthar, D. L.
• Editors: Liu, Lishan
• Is Part Of: Cogent mathematics & statistics. Volume 7:Issue 1(2020)
• Publication Date: 2020-01-01
• Subjects: Generalized fractional integral -- K-function -- S-function -- Whittaker transform -- K-transform -- Beta function; 26A33 -- 33C45 -- 33C60 -- 33C70; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2020.1781506
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: Fractional integral operators introduced by Saxena and Kumbhat involving Fox's H-function as kernel are applied, and find new image formulas of S-function and properties are established. Also, by implementing Euler, Whittaker and K-transforms on the resulting formulas. On account of S-function, a number of results involving special functions can be obtained merely by giving particular values for the parameters.