Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers, leading to Stephan's observation
DOI : 10.2206/kyushujm.77.149
MTMT : 34032538
Megjelenés dátuma : 2023
Folyóirat címe : Kyushu Journal of Mathematics
Évfolyam : 77
Szám : 1
Oldalszám : 149-158
Dokumentum típusa : folyóiratcikk
Absztrakt :
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 anti-diagonal sum of poly-Bernoulli numbers. As an application, we prove Stephan's observation from 2004.
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Név: Remarkable_relations_between_the_central_binomial_series.pdf
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