On Dual Hyperbolic Guglielmo Numbers
Bahadir Yilmaz *
Department of Mathematics, Science Faculty, Zonguldak Bulent Ecevit University, Turkey.
Yuksel Soykan
Department of Mathematics, Science Faculty, Zonguldak Bulent Ecevit University, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this research, the generalized dual hyperbolic Guglielmo numbers are introduced. Various special cases are explored (including dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, and dual hyperbolic pentagonal numbers). Binet.s formulas, generating functions and summation formulas for these numbers are presented. Moreover, Catalan.s and Cassini.s identities are provided, along with matrices associated with these sequences.
Keywords: Dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, dual hyperbolic pentegonal numbers