SXShun-Wei Xu
Shun-Wei Xu
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Shun-Wei Xu has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Chao-Ping Chen
Henan Polytechnic University
1 shared publication - Cristinel Mortici
Valahia University of Targoviste
1 shared publication - Hari Mohan Srivastava
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
1 shared publication
Latest Publications
- Open Access
- 27 February 2026
- Published by MDPI AG in Preprints.org
Some New Properties of the Gamma Function Based on Ramanujan’s Formula and Nemes’ Formula
Ramanujan presented the following approximation formula of the gamma function: \( \Gamma(x+1)\approx\sqrt{\pi}\left( \frac{x}{e}\right) ^{x} \left( 8x^{3}+4x^{2}+x+\frac{1}{30}\right) ^{1/6},\qquad x\to\infty. \) In this paper, we develop Ramanujan's approximation formula to derive a number of complete asymptotic expansions. We also establish several subadditive and superadditive properties of some functions which are related to the gamma function.- 27 February 2026
- Published by MDPI AG in Preprints.org
Open AccessSome New Properties of the Gamma Function Based on Ramanujan’s Formula and Nemes’ Formula
Ramanujan presented the following approximation formula of the gamma function: \( \Gamma(x+1)\approx\sqrt{\pi}\left( \frac{x}{e}\right) ^{x} \left( 8x^{3}+4x^{2}+x+\frac{1}{30}\right) ^{1/6},\qquad x\to\infty. \) In this paper, we develop Ramanujan's approximation formula to derive a number of complete asymptotic expansions. We also establish several subadditive and superadditive properties of some functions which are related to the gamma function.