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Gauss Hypergeometric Functions, Multiple Polylogarithms, and Multiple Zeta Values

open access: yesPublications of the Research Institute for Mathematical Sciences, 2010
In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation.
openaire   +3 more sources

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios

open access: yesModern Mathematical Methods
The paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk   +2 more
doaj  

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