P-symbols, Heun Identities, and 3 F 2 Identities
نویسندگان
چکیده
The usefulness of Riemann P-symbols in deriving identities involving the parametrized special function Hl is explored. Hl is the analytic local solution of the Heun equation, the canonical second-order differential equation on the Riemann sphere with four regular singular points. The identities discussed include ones coming from Möbius automorphisms and F-homotopies, and also quadratic and biquadratic transformations. The case when Hl is identical to a generalized hypergeometric function of 3F2 type is examined, and Pfaff and Euler transformations of 3F2(a1, a2, e + 1; b1, e;x) are derived. They extend several 3F2 identities of Bailey and Slater.
منابع مشابه
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تاریخ انتشار 2008