Binomial sums about Bernoulli, Euler and Hermite polynomials

Xiaoyuan Wang; Wenchang Chu

doi:10.47443/dml.2020.0062

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Binomial sums about Bernoulli, Euler and Hermite polynomials

Author(s)

Xiaoyuan Wang School of Science, Dalian Jiaotong University,Dalian 116028,P. R. China

Wenchang Chu Department of Mathematics and Physics, University of Salento,Lecce 73100,Italy

Abstract

Binomial sums about Bernoulli, Euler and Hermite polynomials are examined by making use of the symmetric summation theorem on polynomial differences, which is due to Chu and Magli [European J. Combin. 28 (2007) 921-930]. Several summation formulae are also obtained, including Barbero's recent one on Bernoulli polynomials reported in [Comptes Rendus Math. 358 (2020) 41-44].

Publication Details

Page(s) 5-11

DOI 10.47443/dml.2020.0062

Published Journal: Discrete Mathematics Letters, Volume: 5, Issue: 0, Year: 2021

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Keywords

recurrence relation, Hermite polynomial, Euler polynomial, Bernoulli polynomial, binomial coefficient

References

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