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arXiv · 1304.2540

Explicit formulas for parametrized families of irreducible algebraic Appell, Lauricella and Horn functions

Esther Bod
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Abstract

For suitable choices of the parameters the Appell, Lauricella and Horn functions are algebraic. In a previous paper we showed that there exist families of algebraic functions for the F_4, F_C, G_3, H_4, H_5 and H_7 functions, depending on one parameter r. For each of these we give a solution of the form f^r.g of the system of differential equations and give formulas for f and g.

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Esther Bod. 2013-04-09. Explicit formulas for parametrized families of irreducible algebraic Appell, Lauricella and Horn functions. https://arxiv.org/abs/1304.2540

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