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Questions on the special mathematical functions implemented in Mathematica.

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Computation of infinite series containing Zeta function

(this is my first question on this forum I'm totally inexperienced in mathematica) Consider the given alternating series: $$f(x) =\sum_{n=0}^\infty \frac{2a_n(x-1)^{2n+1}}{\zeta(-2n-1)}$$ Here, $a_n= …
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