Asymptotic expansions of generalized functions
β Scribed by Yu. A. Brychkov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1972
- Tongue
- English
- Weight
- 236 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The aim of this paper is to give a bivariate asymptotic expansion of the coefficient \(y_{n k}=\left[x^{n}\right] y(x)^{k}\), where \(y(x)=\sum y_{n} x^{n}\) has a power series expansion with non-negative coefficients \(y_{n} \geqslant 0\). Such expansions are known for \(k / n \in[a, b]\) with \(a>
The aim of this paper is to construct the asymptotic expansions of a class of approximation formulas for the factorial function.
dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn