Higher recurrences for Apostol-Bernoulli-Euler numbers
โ Scribed by A. Bayad; T. Kim
- Book ID
- 111682458
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 457 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1061-9208
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We use properties of p-adic integrals and measures to obtain congruences for higher-order Bernoulli and Euler numbers and polynomials, as well as for certain generalizations and for Stirling numbers of the second kind. These congruences are analogues and generalizations of the usual Kummer congruenc
We extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can be written in symbolic notation as (B 0 + B 0 ) n = -nB n-1 -(n -1)B n , to obtain explicit expressions for (B k + B m ) n with arbitrary fixed integers k, m 0. The proof uses convolution identities for Stirl