Articles
Published 2023-01-15
Keywords
- Wallis,
- Integrals,
- Limits,
- Series
Copyright (c) 2024 Scientia
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Jungic, V., Burazin, A., & Miroslav Lovric. (2023). Wallis m-integrals and their properties. Scientia Series A: Mathematical Sciences, 33, 61-72. https://revistas.usm.cl/scientia/article/view/9
Abstract
This paper investigates asymptotic behaviour of the m-Wallis integrals
\[\ W(m,k) = \int_{0}^{\frac{\pi}{2}} x^{m}\cos^k x \, dx, m \in \mathbb{N} \cup \{0\},k \in \mathbb{N}.\]
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