On Dual Hyperbolic Guglielmo Numbers

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.