The real zeros of the Bernoulli polynomials
type: Item
instance of: scholarly article
title: The real zeros of the Bernoulli polynomials
zbMATH Open document ID: 0692.41006
DOI: 10.1016/0021-9045(89)90016-6
author: D. J. Leeming
published in: Journal of Approximation Theory
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/1828/1519
review text: The author gives an empirical method for determining the exact number, \(R_ n\), of real zeros of \(B_ n(x)\) up to \(n=200\). Up to \(n=117\) the exact value is listed (table IV and table V). A general method is presented. The results are presented with a precision of approximately 17 decimal digits.
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 12D10
zbMATH DE Number: 4132806
zbMATH Keywords: Bernoulli polynomials
zbMATH Keywords: real zeros
MaRDI profile type: Publication
OpenAlex ID: W2004549098
cites work: On the Euler and Bernoulli polynomials.
cites work: Note on irreducibility of the Bernoulli and Euler polynomials
cites work: Q3745896
cites work: Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials
cites work: An Always Convergent Minimization Technique for the Solution of Polynomial Equations
cites work: Q3288132
cites work: Q5535148
cites work: Q4057549
cites work: An Asymptotic Estimate for the Bernoulli and Euler Numbers
cites work: Über die Nullstellen der Bernoullischen Polynome
cites work: On the zeros of Bernoulli polynomials of even order
description: scientific article; zbMATH DE number 4132806