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Balancing and Lucas-Balancing hybrid numbers and some identitiesUysal, MineOzkan, EnginBalancing hybrid numbersLucas-Balancing numbersBinet's FormulaCassini's identityCatalan's identityK-FIBONACCIJACOBSTHALFAMILYInformation Science & Library ScienceIn this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions, exponential generating functions of the Balancing and Lucas-Balancing hybrid numbers.TARU PUBLICATIONS2024Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16554https://doi.org/10.47974/jios-1400orcidid:000252-2667enJOURNAL OF INFORMATION & OPTIMIZATION SCIENCESinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16554