The (s, t)−Jacobsthal Hybrid Numbers and (s, t)−Jacobsthal-Lucas Hybrid Numbers

Annual Meeting in Mathematics 2023

Authors

  • Tanupat Petpanwong
  • Narawadee Phudolsitthiphat Chiang Mai University

Keywords:

(s, t)−Jacobsthal sequence, (s, t)−Jacobsthal-Lucas sequence, hybrid numbers

Abstract

The (s, t)−Jacobsthal and (s, t)−Jacobsthal-Lucas hybrid numbers are introduced. Several properties of these numbers are derived, including the Binet formulas, generating functions, exponential generating functions, summation formulas and identities such as those due to Catalan, Cassini and d'Ocagne. In addition, a matrix generator for these numbers is presented. The obtained results extend and generalize well-known theorems.

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Published

2024-03-31

How to Cite

Petpanwong, T., & Phudolsitthiphat, N. (2024). The (s, t)−Jacobsthal Hybrid Numbers and (s, t)−Jacobsthal-Lucas Hybrid Numbers: Annual Meeting in Mathematics 2023. Thai Journal of Mathematics, 22(1), 239–249. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1613

Issue

Vol. 22 No. 1 (2024): March

Section

Articles