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Hybrid Numbers with Horadam Hybrid Number Coefficients.

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Bibliographic Details
Title: Hybrid Numbers with Horadam Hybrid Number Coefficients.
Source: Kyungpook Mathematical Journal. Jun2025, Vol. 65 Issue 2, p183-193. 11p.
Subject Terms: *CATALAN numbers, *IDENTITIES (Mathematics), *MATRICES (Mathematics), *MATHEMATICAL functions, *MATHEMATICAL formulas
Abstract: In this paper, we introduce hybrid numbers with Horadam hybrid number coefficients. We give the Binet formula, generating function, exponential generating function for these hybrid numbers. Also, a type of Catalan identity is introduced for these hybrid numbers. Additionally, a matrix version is introduced to alternatively prove Cassini's identity. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:In this paper, we introduce hybrid numbers with Horadam hybrid number coefficients. We give the Binet formula, generating function, exponential generating function for these hybrid numbers. Also, a type of Catalan identity is introduced for these hybrid numbers. Additionally, a matrix version is introduced to alternatively prove Cassini's identity. [ABSTRACT FROM AUTHOR]
ISSN:12256951
DOI:10.5666/KMJ.2025.65.2.183