On Hybrid numbers with Gaussian Mersenne Coefficients

Authors : Serhat YILDIRIM, Fatih YILMAZ

Pages : 212-223

Doi:10.18185/erzifbed.1162515

View : 17 | Download : 11

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :In this paper, we consider hybrid numbers with Gaussian Mersenne coefficients and investigate their interesting properties such as the Binet formula, Cassini, Catalan, Vajda, D’Ocagne and Honsberger identities. Moreover, we illustrate the results with some examples.
Keywords : Hybrid Gaussian Mersenne, Generating function, Binet formula, Cassini identity, Catalan identity, Vajda identity, DOcagne identity, Honsberger identity