More Fibonacci-Bernoulli relations with and without balancing polynomials

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10397

Title:	More Fibonacci-Bernoulli relations with and without balancing polynomials
Authors:	Frontczak, Robert Гой, Тарас Петрович
Keywords:	Bernoulli polynomials Bernoulli numbers balancing polynomials balancing numbers Fibonacci numbers Lucas numbers generating function
Issue Date:	2021
Citation:	Frontczak R. More Fibonacci-Bernoulli relations with and without balancing polynomials / R. Frontczak, T. Goy // Mathematical Communications, 2021. – 26 (2). – P. 215–226.
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).
URI:	http://hdl.handle.net/123456789/10397
Appears in Collections:	Статті та тези (ФМІ)

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