Mathematica Eterna
Open Access

Abstract

On W. Gordon’s integral (1929) and related identitie

Nasser Saad

Analytic evaluation of Gordon’s integral J j(±p) c (b, b′ ; λ, w, z) = Z ∞ 0 x c+j−1 e −λx 1F1(b; c; wx)1F1(b ′ ; c ± p; zx)dx, are given along with convergence conditions. It shows enormous number of definite integrals, frequently appear in theoretical and mathematical physics applications, easily deduced from this generalized integral.