A Note Concerning Generalized Complex k-Horadam and Generalized Gaussian k-Horadam Squences
Hasan Gökbaş *
İsmail Kaya Anatolian Religious Vocational High School, Konya, Turkey.
Hasan Köse
Faculty of Science, Selçuk University, Konya, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we have studied the generalized Complex k-Horadam and generalized Gaussian k-Horadam sequences. We have given the generating functions and Binet formulas of generalized Complex k-Horadam and generalized Gaussian k-Horadam sequences. Moreover, we have obtained some important identities involving the generalized Complex k-Horadam and generalized Gaussian k-Horadam numbers.
Keywords: Generalized Complex k-Horadam, generalized Gaussian k-Horadam, Binet formula, d’Ocagne formula, Catalan formula.