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Infinite families of accelerated series for some classical constants by the Markov-WZ Method. (English) Zbl 1134.33327

Summary: We show the Markov-WZ Method in action as it finds rapidly converging series representations for a given hypergeometric series. We demonstrate the method by finding new representations for \(\log(2),\zeta (2)\) and {\({\zeta (3)}\)}.

MSC:

33F05 Numerical approximation and evaluation of special functions
05E35 Orthogonal polynomials (combinatorics) (MSC2000)
33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.)
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