Annals of Oradea University - Mathematics Fascicola, cilt.2, ss.101-111, 2025 (Hakemli Dergi)
In this study, we introduce the bicomplex (k, l)−Gadovan numbers, which can be considered refinements of the Gadovan numbers. We give the recurrence relation, the Binet formula, the generating functions, the exponential generating function of the bicomplex (k, l)−Gadovan numbers. Also, we derive Cassini identity, Catalan identity, Vajda identity, Honsberger identity and d’Ocagne identity which are important identities of the bicomplex (k, l)−Gadovan numbers for sequences of numbers.