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Mathematica Eterna

Mathematica Eterna
Open Access

ISSN: 1314-3344

+44-20-4587-4809

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.

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