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Wallis Type Formula and a Few Versions of the Number π in q-Calculus
Department of Mathematics, Faculty of Electronic Engineering, Aleksandra Medvedeva 14, Niš, 18000, Serbia.
Department of Mathematics, Faculty of Mechanical Engineering, Aleksandra Medvedeva 14, Niš, 18000, Serbia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2023 (English)In: Non-commutative and Non-associative Algebra and Analysis Structures: SPAS 2019, Västerås, Sweden, September 30 - October 2 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Springer , 2023, p. 741-759Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we expose a geometrical interpretation of the q-Wallis formula. We construct plane regions which consist of rectangles whose edges’ lengths are directly connected with factors in this formula. These regions are bounded by quarters of inside and outside circles from which we get estimates and conclusions about the number πq.

Place, publisher, year, edition, pages
Springer , 2023. p. 741-759
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
q-Wallis formula, q-number, q-gamma function
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64595DOI: 10.1007/978-3-031-32009-5_27Scopus ID: 2-s2.0-85174449662ISBN: 9783031320088 (print)OAI: oai:DiVA.org:mdh-64595DiVA, id: diva2:1808053
Conference
International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October 2019
Available from: 2023-10-30 Created: 2023-10-30 Last updated: 2023-12-27Bibliographically approved

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