New asymptotic expansion for the Gamma function
✍ Scribed by Gergő Nemes
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 242 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
We complement a recent calculation (P. B. Gossiaux and the present authors, Ann. Phys. (N.Y.) 268 (1998), 273) of the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through microstructures with the shape of a classically chaotic billiard
The main subject of this paper is the analysis of asymptotic expansions of Wallis quotient function Γ (x+t) Γ (x+s) and Wallis power function , when x tends to infinity. Coefficients of these expansions are polynomials derived from Bernoulli polynomials. The key to our approach is the introduction