On hypergeometric series reductions from integral representations, the Kampe de Feriet function, and elsewhere

Details On hypergeometric series reductions from integral representations, the Kampe de Feriet function, and elsewhere On hypergeometric series reductions from integral representations, the Kampe de Feriet function, and elsewhere

2006-08-20

arxiv.org/abs/math-ph/0608048v1

Int. J. Mod. Phys. B 19, 4483-4493 (2005)

Physics

Mathematical Physics

17 pages, no figures

Scientific paper

10.1142/S0217979205032814

Single variable hypergeometric functions pFq arise in connection with the power series solution of the Schrodinger equation or in the summation of perturbation expansions in quantum mechanics. For these applications, it is of interest to obtain analytic expressions, and we present the reduction of a number of cases of pFp and p+1F_p, mainly for p=2 and p=3. These and related series have additional applications in quantum and statistical physics and chemistry.

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