Geodesic
Series acceleration formulas for beta values
Discrete mathematics & theoretical computer science, Tome 12 (2010) no. 2.

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We prove generating function identities producing fast convergent series for the sequences beta(2n + 1); beta(2n + 2) and beta(2n + 3), where beta is Dirichlet's beta function. In particular, we obtain a new accelerated series for Catalan's constant convergent at a geometric rate with ratio 2(-10); which can be considered as an analog of Amdeberhan-Zeilberger's series for zeta(3) 
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     author = {Pilehrood, Khodabakhsh Hessami and Pilehrood, Tatiana Hessami},
     title = {Series acceleration formulas for beta values},
     journal = {Discrete mathematics & theoretical computer science},
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     number = {2},
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     doi = {10.46298/dmtcs.504},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.504/}
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Pilehrood, Khodabakhsh Hessami; Pilehrood, Tatiana Hessami. Series acceleration formulas for beta values. Discrete mathematics & theoretical computer science, Tome 12 (2010) no. 2. doi : 10.46298/dmtcs.504. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.504/

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