2026-10-18T23:15:07Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/168922026-10-18T20:41:07Zopenairedrivercom_ebyu_10000col_ebyu_10001

POLYNOMIALS OF BALANCING, BALANCING-LUCAS SEQUENCES AND k-BALANCING, k-BALANCING-LUCAS SEQUENCESOzkan, EnginEser, EnginUysal, MineBalancing polynomialsBalancing-Lucas polynomialsk-Balancing poly-nomialsk-Balancing-Lucas polynomialsBinet formulaFIBONACCIPELLNUMBERSFAMILYMathematicsIn this work, we introduce Balancing, Balancing-Lucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We exhibit some important theorems: Cassini, Catalan, Vajda, d'Ocagne, and Honsberger identities for Balancing, BalancingLucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula, and generating function for polynomials, which are important for number sequences.UNIV NIS2026Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16892https://doi.org/10.22190/fumi240529009o0352-9665enFACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16892