On Generalized Hybrid Oresme Numbers with Hybrid k-Oresme Coefficients

Year 2025, Volume: 13 Issue: 1, 28 - 36, 30.04.2025

Elifcan Sayın , Serpil Halıcı

Abstract

In current paper, we have defined a generalization of Oresme numbers with hybrid $\textit{k- }$ Oresme coefficients. We obtained the generating function of these newly defined numbers. Using generating function, we obtained some fundamentel and important identities containing the elements of the newly defined number sequence. We also gave some special sum formulas of this sequence we are considering.

Keywords

Hybrid numbers, Recurrence relations, Oresme numbers

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