On Dual 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 work, we introduce the generalized dual hyperbolic Woodall numbers. As special cases, we study with dual hyperbolic Woodall, dual hyperbolic modified Woodall, dual hyperbolic Cullen numbers and dual hyperbolic modified Cullen numbers. Also, we present Binet’s formulas, generating functions, some identities, linear sums and matrices related with these sequences. In addition, we give Catalan’s and Cassini’s identities.

Keywords: Woodall numbers, cullen numbers, dual hyperbolic numbers, dual hyperbolic woodall numbers, dual hyperbolic cullen numbers


How to Cite

Orhan Eren, and Yuksel Soykan. 2024. “On Dual Hyperbolic Generalized Woodall Numbers”. Archives of Current Research International 24 (11):398–423. https://doi.org/10.9734/acri/2024/v24i11981.