Affiliation:
1. Rzeszow University of Technology , The Faculty of Mathematics and Applied Physics , al. Powstańców Warszawy 12 , Rzeszów , Poland
Abstract
Abstract
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.