On a New Generalization of Pell Hybrid Numbers

Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona

doi:10.2478/amsil-2024-0011

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.

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On a New Generalization of Pell Hybrid Numbers

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