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Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers by Bényi, Beáta; Matsusaka, Toshiki is a scholarly article available to read on EtoBox.

What is Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers about?

The central binomial series at negative integers are expressed as a linear combination of values of certain two polynomials. We show that one of the polynomials is a special value of the bivariate Eulerian polynomial and the other polynomial is related to the antidiagonal sum of poly-Bernoulli numbers. As an application, we prove Stephan's observation from 2004.

Author

Bényi, Beáta; Matsusaka, Toshiki

Published

2022

Language

EN