On W. Gordon's integral (1929) and related identities
Abstract
Analytic evaluation of Gordon's integral Jcj( p)(b,b';λ,w,z)=∫0∞ xc+j-1e-λ x1F1(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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