Higher Order Bernoulli Polynomials and Newton Polygons

Arnold Adelberg

A chapter in Applications of Fibonacci Numbers, 1998, pp 1-8 from Springer

Abstract: Abstract The Bernoulli polynomials of degree n and order l can be defined by 1.1 $$ \sum\limits_{{n = 0}}^{\infty } {{\text{ }}B_{n}^{{(1)}}} (x)\frac{{{{t}^{n}}}}{{n!}} = {{e}^{{xt}}}{{\left( {\frac{t}{{{{e}^{t}} - 1}}} \right)}^{l}} $$ .

Keywords: Bernoulli Number; Irreducible Factor; Bernoulli Polynomial; Newton Polygon; Ramification Index (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-94-011-5020-0_1

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