Contents

Online Journal of Analytic Combinatorics

  • Research article

Convolutions between Bernoulli/Euler polynomials and Pell/Lucas polynomials

Dongwei Guo1, Wenchang Chu2
1School of Mathematics and Statistics Zhoukou Normal University Zhoukou (Henan), China
2Department of Mathematics and Physics University of Salento (P. O. Box 193) 73100 Lecce, Italy
  • Published: 31/12/2022

Abstract

Between Bernoulli/Euler polynomials and Pell/Lucas polynomials, convolution sums are evaluated in closed form via the generating function method. Several interesting identities involving Fibonacci and Lucas numbers are shown as consequences including those due to Byrd \( (1975) \) and Frontczak \( (2020) \).

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Citation
Dongwei Guo, Wenchang Chu. Convolutions between Bernoulli/Euler polynomials and Pell/Lucas polynomials[J], Online Journal of Analytic Combinatorics, Issue 17, 2022. -. DOI: .