Explicit formulas for parametrized families of irreducible algebraic Appell, Lauricella and Horn functions
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 F4, FC, G3, H4, H5 and H7 functions, depending on one parameter r. For each of these we give a solution of the form fr.g of the system of differential equations and give formulas for f and g.
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