Published: 2024-04-27

On a new generalization of Pell hybrid numbers

Dorota Bród Logo ORCID , Anetta Szynal-Liana , Iwona Włoch

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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Bród, D., Szynal-Liana, A., & Włoch, I. (2024). On a new generalization of Pell hybrid numbers. Annales Mathematicae Silesianae, 38(2), 221–240. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17429

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Vol. 38 No. 2 (2024)
Published: 2024-07-23


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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