New Wallis- and Catalan-Type Infinite Products for α, <em>e</em> and

DOI10.4169/000298910X523399zbMath1216.40002arXiv1005.2712OpenAlexW2294585983WikidataQ58244327 ScholiaQ58244327MaRDI QIDQ3069249

Huang Yi, Jonathan Sondow

Publication date: 25 January 2011

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2712

zbMATH Keywords

constantsgamma functionasymptoticsfactorizationseriesStirling's formulafactorialsCatalan-type infinite productsEuler's reflection formulaPippenger's productWallis-type products

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Evaluation of number-theoretic constants (11Y60) Convergence and divergence of infinite products (40A20)

Related Items (7)

Estimates for Wallis' ratio and related functions ⋮ Extending Euler's product for \(\sqrt 2 \) ⋮ Generalized Infinite Products for Powers of <em>e</em>^1/<em>k</em> ⋮ Wallis type formula and a few versions of the number \(\pi\) in \(q\)-calculus ⋮ Infinite products involving the period-doubling sequence ⋮ On gamma quotients and infinite products ⋮ Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics

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