Skip to Main content Skip to Navigation
Journal articles

Series acceleration formulas for beta values

Abstract : 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)
Document type :
Journal articles
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s Connect in order to contact the contributor
Submitted on : Tuesday, May 13, 2014 - 3:37:48 PM
Last modification on : Monday, December 14, 2020 - 9:41:56 AM
Long-term archiving on: : Monday, April 10, 2017 - 10:15:59 PM


Files produced by the author(s)


  • HAL Id : hal-00990465, version 1


Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood. Series acceleration formulas for beta values. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2010, 12 (2), pp.223-236. ⟨hal-00990465⟩



Record views


Files downloads