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On dual hyperbolic generalized Fibonacci numbers

Authors :
Yüksel Soykan
Source :
Indian Journal of Pure and Applied Mathematics. 52:62-78
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

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

Details

ISSN :
09757465 and 00195588
Volume :
52
Database :
OpenAIRE
Journal :
Indian Journal of Pure and Applied Mathematics
Accession number :
edsair.doi.dedup.....6aa47a8418463ba1ac2fde649906de31