Wallis type formula and a few versions of the number \(\pi\) in \(q\)-calculus

DOI10.1007/978-3-031-32009-5_27OpenAlexW4387014257MaRDI QIDQ6119361

Sergei D. Silvestrov, Predrag M. Rajković, Sladjana D. Marinković

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-32009-5_27

zbMATH Keywords

\(q\)-gamma function\(q\)-number\(q\)-Wallis formula

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) (q)-gamma functions, (q)-beta functions and integrals (33D05) Evaluation of number-theoretic constants (11Y60)

Cites Work

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• On the Gaussian \(q\)-distribution
• Asymptotics of zeros of basic sine and cosine functions
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• New Wallis- and Catalan-Type Infinite Products for α, <em>e</em> and
• An example of Feynman–Jackson integrals
• On the Numerical Evaluation of Two Infinite Products
• Fibonacci Numbers and the Arctangent Function
• On a connection between formulas about q–gamma functions
• An Elementary Proof of the Wallis Product Formula for pi

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