Some double series for \(\pi\) and their \(q\)-analogues

DOI10.1016/J.JMAA.2024.128309MaRDI QIDQ6491655

Guozhu Ruan, Chuanan Wei

Publication date: 24 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

\(q\)-serieshypergeometric series\(q\)-analoguedouble series for \(\pi\)

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)

Cites Work

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• Strange Evaluations of Hypergeometric Series
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• A FAMILY OF -SUPERCONGRUENCES MODULO THE CUBE OF A CYCLOTOMIC POLYNOMIAL

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