On Hybrid Numbers with Gaussian Leonardo Coefficients

Nagihan Kara and Fatih Yilmaz ()
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Nagihan Kara: Department of Mathematics, Ankara Hacı Bayram Veli University, 06900 Ankara, Turkey
Fatih Yilmaz: Department of Mathematics, Ankara Hacı Bayram Veli University, 06900 Ankara, Turkey

Mathematics, 2023, vol. 11, issue 6, 1-12

Abstract: We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid Gaussian Leonardo numbers and obtain some of their particular properties. Furthermore, we define n n Hessenberg matrices whose permanents yield the Leonardo and Gaussian Leonardo sequences.

Keywords: hybrid Gaussian Leonardo; generating function; Binet formula; Cassini identity; permanent; Hessenberg matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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