Composition formulas of Bessel-Struve kernel function

2016/01/31 by Nisar, K. S, Agarwal, S. R. Mondal. P.
#05A15 #05C38 #15A15 #15A18 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.00279

Abstract

The generalized operators of fractional integration involving Appell's function F₃(.) due to Marichev-Saigo-Maeda, is applied to the Bessel Struve kernel function S_α( λz),λ,z∈ ℂ to obtain the results in terms of generalized Wright functions.The pathway integral representations Bessel Struve kernel function and its relation between many other functions also derived in this study.

Related

• Marichev-Saigo-Maeda fractional integration operators of generalized Bessel functions
• Some unified integrals associated with Bessel-Struve kernel function
• Marichev-Saigo-Maeda fractional operator representations of generalized Struve function
• Generalized fractional integration of k\-Bessel function
• Certain unified integration formulas associated with generalized k-Bessel function