Results 1 to 10 of about 26,055 (202)

Bernoulli Polynomials and Bernoulli Numbers

1973
The summing of the first n natural numbers, or Squares, or cubes, is a rather elementary problem in number theory and leads to the well known formulae $$\eqalign{ & \sum\limits_{n = 1}^N n \, = \,{{N(N + 1)} \over 2}, \cr & \sum\limits_{n = 1}^N {{n^2}} \, = \,{{N(N + 1)(2N + 1)} \over 6}, \cr & \sum\limits_{n = 1}^N {{n^3}} \, = \,{{{N^2}{{(N + 1)}
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Bernoulli and Euler Polynomials

2021
Focus of this chapter are Bernoulli numbers and polynomials, and Euler numbers and polynomials in the complex domain. For the evaluation several methods can be used in dependence of the polynomial degree and argument: Direct integration, direct integration in combination with argument transformations, or expansions with respect to trigonometric series.
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Supercongruences involving Bernoulli polynomials

International Journal of Number Theory, 2016
Let [Formula: see text] be a prime, and let [Formula: see text] be a rational [Formula: see text]-adic integer. Let [Formula: see text] and [Formula: see text] denote the Bernoulli numbers and Bernoulli polynomials given by [Formula: see text] and [Formula: see text].
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A Note on Bernoulli-Goss Polynomials

Canadian Mathematical Bulletin, 1984
AbstractIn an important series of papers ([3], [4], [5]), (see also Rosen and Galovich [1], [2]), D. Goss has developed the arithmetic of cyclotomic function fields. In particular, he has introduced Bernoulli polynomials and proved a non-existence theorem for an analogue to Fermat’s equation for regular “exponent”. For each odd prime p and integer n, l
Ireland, K., Small, D.
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Convolutions of Bernoulli and Euler Polynomials

Sarajevo Journal of Mathematics
By means of the generating function technique, several convolution identities are derived for the polynomials of Bernoulli and Euler.   2000 Mathematics Subject Classification.
CHU, Wenchang, ZHOU R. R.
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Bernoulli polynomials

2011
Helmut Brass, Knut Petras
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Bernoulli Numbers and Polynomials

1976
The oldest distribution is that defined by the Bernoulli polynomials, although of course their classical recurrence property was not called by that name.
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Bernoulli polynomials

1994
I H Sloan, S Joe
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Bernoulli polynomials

2012
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HERMITE-BERNOULLI 2D POLYNOMIALS

Mathematical Physics, 2012
BURAK KURT, VELİ KURT
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