A Study on Dual Generalized Fibonacci Matrices

Melih Göcen, Can Murat Dikmen, Yusuf Kaya, Yüksel Soykan

Abstract


In this paper, we introduce the dual generalized Fibonacci matrices. As special cases, we deal with dual Fibonacci and dual Lucas matrices. We present Binet’s formulas, generating functions and the summation formulas for these matrices. Moreover, we give Catalan’s, Cassini’s, d’Ocagne’s, Gelin-Cesàro’s, Melham’s identities and present matrices related with these sequences.


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