Skip to Main content Skip to Navigation
New interface
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 : Tuesday, August 2, 2022 - 4:31:56 AM
Long-term archiving on: : Monday, April 10, 2017 - 10:15:59 PM


Files produced by the author(s)



Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood. Series acceleration formulas for beta values. Discrete Mathematics and Theoretical Computer Science, 2010, Vol. 12 no. 2 (2), pp.223-236. ⟨10.46298/dmtcs.504⟩. ⟨hal-00990465⟩



Record views


Files downloads