Arithmetic properties of Bernoulli-Padé numbers and polynomials.

DOI10.1006/JNTH.2001.2696zbMath1034.11015OpenAlexW2081796288MaRDI QIDQ5960996

Louise Malloch, Karl Dilcher

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2696

zbMATH Keywords

Padé approximationBernoulli numbersBernoulli polynomialsgeneralizations of Bernoulli numbers and polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Padé approximation (41A21) Special sequences and polynomials (11B83)

Related Items (8)

Recursion rules for the hypergeometric zeta function ⋮ ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2 ⋮ An Umbral Calculus Approach to Bernoulli–Padé Polynomials ⋮ Results on values of Barnes polynomials ⋮ Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros ⋮ HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES ⋮ Characterization of Kummer hypergeometric Bernoulli polynomials and applications ⋮ A method for summing Bessel series and a couple of illustrative examples

Cites Work

• A sequence of numbers related to the exponential function
• Some sequences of rational numbers related to the exponential function
• Note on irreducibility of the Bernoulli and Euler polynomials
• On the degrees of irreducible factors of higher order Bernoulli polynomials
• Polynomials Related to the Bessel Functions
• The VAN DER POL Numbers and a Related Sequence of Rational Numbers
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