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arXiv · 1406.5079

On W. Gordon's integral (1929) and related identities

Nasser Saad
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Abstract

Analytic evaluation of Gordon's integral $$\operatorname {J}_c^{j(\pm p)}(b,b';λ,w,z)=\int_0^\infty x^{c+j-1}e^{-λx}{}_1F_1(b;c;wx){}_1F_1(b';c\pm p;zx)dx,$$ 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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Nasser Saad. 2014-06-24. On W. Gordon's integral (1929) and related identities. https://arxiv.org/abs/1406.5079

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