Fractional Calculus and certain integrals of Generalized multiindex Bessel function

2017/06/25 by Kottakkaran Sooppy Nisar, Nisar, K. S., Sunıl Dutt Purohıt +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1706.08039

openalex publication_date 2017/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We aim to introduce the generalized multiindex Bessel function J_( β_j) _m,κ,b^( α_j)_m,γ,c[ z] and to present some formulas of the Riemann-Liouville fractional integration and differentiation operators. Further, we also derive certain integral formulas involving the newly defined generalized multiindex Bessel function J_( β_j) _m,κ,b^( α_j)_m,γ,c[ z] . We prove that such integrals are expressed in terms of the Fox-Wright function _pΨ_q(z). The results presented here are of general in nature and easily reducible to new and known results.

Citations

• The Asymptotic Expansion of Generalized Hypergeometric Functions

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