The real zeros of the Bernoulli polynomials

DOI10.1016/0021-9045(89)90016-6zbMath0692.41006OpenAlexW2004549098MaRDI QIDQ583521

David J. Leeming

Publication date: 1989

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1828/1519

zbMATH Keywords

Bernoulli polynomialsreal zeros

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items

On some inequalities for the Bernoulli numbers, ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2, Monotonicity results involving the zeta function with applications, The exact number of real roots of the Bernoulli polynomials, A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers, Finding elementary formulas for theta functions associated to even sums of squares, Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind, Real zeros of the Hurwitz zeta function, Sharp bounds for the ratio of two zeta functions, Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios, Spectral actions for q-particles and their asymptotics

Cites Work

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• On the zeros of Bernoulli polynomials of even order
• Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials
• Note on irreducibility of the Bernoulli and Euler polynomials
• An Asymptotic Estimate for the Bernoulli and Euler Numbers
• Über die Nullstellen der Bernoullischen Polynome
• On the Euler and Bernoulli polynomials.
• An Always Convergent Minimization Technique for the Solution of Polynomial Equations