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More Fibonacci-Bernoulli relations with and without balancing polynomials

Authors :
Robert Frontczak
Taras Goy
Source :
Mathematical Communications, Volume 26, Issue 2, Taras Goy
Publication Year :
2020

Abstract

We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a special identity involving Bernoulli polynomials and Fibonacci numbers in arithmetic progression. Special cases and some corollaries will highlight interesting aspects of our findings. Our results complement and generalize these of Frontczak (2019).<br />12 pages

Details

Language :
English
ISSN :
13310623 and 18488013
Database :
OpenAIRE
Journal :
Mathematical Communications, Volume 26, Issue 2, Taras Goy
Accession number :
edsair.doi.dedup.....3dc602be59ac691afc5dae71a7450d00