Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions
✍ Scribed by José Luis López; Nico M. Temme
- Book ID
- 105879140
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 269 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
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
The Neumann series representation for the Bessel functions and Neumann functions is generalized for the regular and irregular solutions of the Kummer equation. This representation results in a convenient algorithm for the computation of a large family of special functions, e.g., most of the soluble