An Apéry-like continued fraction for π coth π

DOI10.1080/10236190801945571zbMath1151.11035OpenAlexW2124896575MaRDI QIDQ3544277

Tatiana Hessami Pilehrood, Khodabakhsh Hessami Pilehrood

Publication date: 5 December 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190801945571

zbMATH Keywords

hypergeometric seriesdifference equationsrational functionscontinued fractionsZeilberger's algorithm

Mathematics Subject Classification ID

Recurrences (11B37) Continued fractions and generalizations (11J70) Generalized hypergeometric series, ({}_pF_q) (33C20) Approximation to limiting values (summation of series, etc.) (40A25) General theory of difference equations (39A05)

Related Items (1)

Polynomial continued fractions for exp(π)

Cites Work

• Well-poised hypergeometric series for Diophantine problems of zeta values
• Infinite sums as linear combinations of polygamma functions

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