Introduction to generalized Leonardo-Alwyn hybrid numbers

TL;DR

This paper introduces generalized Leonardo-Alwyn hybrid numbers, explores their mathematical properties, and demonstrates their applications in matrix theory, expanding the understanding of this new number sequence.

Contribution

It extends the Leonardo-Alwyn sequence to a generalized form and investigates their properties and matrix applications, which is a novel contribution.

Findings

Properties of generalized Leonardo-Alwyn hybrid numbers are established.

Applications in matrices are demonstrated.

The sequence's behavior and potential uses are explored.

Abstract

In \cite{Go}, G\"okba\c{s} defined a new type of number sequence called Leonardo-Alwyn sequence. In this paper, we consider the generalized Leonardo-Alwyn hybrid numbers and investigate some of their properties. We also give some applications related to the generalized Leonardo-Alwyn hybrid numbers in matrices.