• Some new results for the gener...

Result: Some new results for the generalized bivariate Fibonacci and Lucas polynomials

Title:
Some new results for the generalized bivariate Fibonacci and Lucas polynomials
Authors:
Yılmaz Nazmıye
Source:
Mathematica Moravica, Vol 28, Iss 1, Pp 97-108 (2024)
Publisher Information:
Centre for Evaluation in Education and Science (CEON/CEES), 2024.
Publication Year:
2024
Subject Terms:
lucas polynomials, generating function, 0103 physical sciences, QA1-939, 0101 mathematics, 01 natural sciences, fibonacci polynomials, Mathematics, binomial
Document Type:
Academic journal Article
Language:
English
ISSN:
2560-5542
1450-5932
DOI:
10.5937/matmor2401097y
Access URL:
https://doaj.org/article/d5bd78b05a7b4ab4a5ff33d1dae7d5fc
Rights:
CC BY SA
Accession Number:
edsair.doi.dedup.....710181621ce373f9ca41d2ec6bc8ff9a
Database:
OpenAIRE

Further Information

In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials. Also, general summation formulas, different generating functions, and relations of these polynomials are presented.