On Kummer expansions
β Scribed by E. Capelas de Oliveira
- Book ID
- 112904471
- Publisher
- Springer-Verlag,Italian Physical Society
- Year
- 1991
- Weight
- 161 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0369-3554
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Kummer conjectured the asymptotic behavior of the first factor of the class number of a cyclotomic field. If we only ask for upper and lower bounds of the order of growth predicted by Kummer, then this modified Kummer conjecture is true for almost all primes.
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