On a New Generalization of Pell Hybrid Numbers

In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r -Pell numbers, we define the r -Pell hybrid numbers. We give their properties: character, Binet formula, summation formula, and generating function. Moreover, we present Catalan, Cassini, d’Ocagne, and Vajda type identities for the r -Pell hybrid numbers.