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.
Merve Taştan (Sat,) studied this question.