On Hyperbolic Generalized Woodall Numbers
Orhan Eren *
Department of Mathematics, Faculty of Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
Yuksel Soykan
Department of Mathematics, Faculty of Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
*Author to whom correspondence should be addressed.
Abstract
In this study, we introduce the generalized hyperbolic Woodall numbers. As special cases, we study with hyperbolic Woodall, hyperbolic modified Woodall, hyperbolic Cullen numbers and hyperbolic modified Cullen numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers. Besides, we give Catalan’s and Cassini’s identities and present matrices related to these sequences.
Keywords: Woodall numbers, cullen numbers, hyperbolic numbers, hyperbolic Woodall numbers, hyperbolic Cullen numbers