Some Formulas for the BERNOULLI and EULER Polynomials
β Scribed by L. Carlitz
- Publisher
- John Wiley and Sons
- Year
- 1963
- Tongue
- English
- Weight
- 259 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
In the present paper we provide a multivariate generalization of the Euler -Maclaurin formula which is based on an appropriate multivariate extension of the Bernoulli functions.
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 consider the Kazhdan Lusztig R-polynomials, R u, v (q) indexed by permutations ``u, v'' having particular forms. More precisely, we show that R e, 34 } } } n12 (q) (where ``e'' denotes the identity permutation) equals, aside from a simple change of variable, a q-analogue of the Fibonacci number,