On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas
From MaRDI portal
Publication:1737131
DOI10.1016/j.amc.2016.08.003zbMath1411.33001arXiv1511.09217OpenAlexW2270323240MaRDI QIDQ1737131
Chao-Ping Chen, Richard B. Paris
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.09217
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation to limiting values (summation of series, etc.) (40A25)
Related Items (4)
Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ Unnamed Item ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions ⋮ The Glauber-Ising chain under low-temperature protocols
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Completely monotonic functions and inequalities associated to some ratio of gamma function
- Further refinements of Gurland's formula for \({\pi}\)
- An asymptotic approximation of Wallis' sequence
- Completely monotone functions and the Wallis ratio
- New approximation formulas for evaluating the ratio of gamma functions
- Sharp inequalities and complete monotonicity for the Wallis ratio
- Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
- Identities involving series of the Riemann zeta function
- A generalizationof Wilf's formula
- Birth, growth and computation of pi to ten trillion digits
- Inequalities and asymptotic expansions associated with the Wallis sequence
- Sharp inequalities and asymptotic expansion associated with the Wallis sequence
- The special functions and their approximations. Vol. I, II
- On the asymptotics of products related to generalizations of the Wilf and Mortini problems
- Two infinite product formulas with two parameters
- Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio
- A new method for establishing and proving accurate bounds for the Wallis ratio
- A Probabilistic Proof of Wallis's Formula for π
- Asymptotic formulae associated with the Wallis power function and digamma function
- A Faster Product for $\pi$ and a New Integral for ln $\frac{\pi}{2}$
- Wallis-Ramanujan-Schur-Feynman
- Generalizations of two infinite product formulas
- Asymptotic expansions of the multiple quotients of gamma functions with applications
- An Elementary Proof of the Wallis Product Formula for pi
This page was built for publication: On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas