2026-10-19T01:36:24Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/168222026-10-18T20:38:55Zopenairedrivercom_ebyu_10000col_ebyu_10001

The generalized k-Fibonacci polynomials and generalized k-Lucas polynomialsTastan, MerveOzkan, EnginShannon, Anthony G.Generalized Fibonacci polynomialsk-Fibonacci numbersGeneralized Lucas polynomialsk-Lucas numbersFAMILYMathematicsIn this paper, we define new families of Generalized Fibonacci polynomials and Generalized Lucas polynomials and develop some elegant properties of these families. We also find the relationships between the family of the generalized k-Fibonacci polynomials and the known generalized Fibonacci polynomials. Furthermore, we find new generalizations of these families and the polynomials in matrix representation. Then we establish Cassini's Identities for the families and their polynomials. Finally, we suggest avenues for further research.BULGARIAN ACAD SCIENCE2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16822https://doi.org/10.7546/nntdm.2021.27.2.148-1581310-5132enNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16822