On Gaussianian Narayana and Gaussianian Narayana-Lucas Hybrid Numbers
Abstract
Hybrid numbers, which generalize complex, hyperbolic, and dual numbers, have been the subject of extensive research to date. In this study, we introduce the Gaussian–Narayana Hybrid and Gaussian–Narayana–Lucas Hybrid numbers by combining hybrid number theory with the Gaussian Narayana and Gaussian Narayana–Lucas sequences. We also present several algebraic properties of these newly defined numbers, including their recurrence relations, Binet-type formulas, and summation identities.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Advanced Combinatorial Mathematics
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Journal of the Institute of Science and Technology
- Volume
- 16
- Issue
- 1
- Pages
- 283–290
- Publication date
- 28 February 2026
- Language
- EN