Yağmur, Tülay2020-02-262020-02-262019https:/dx.doi.org/10.7546/nntdm.2019.25.4.123-133https://hdl.handle.net/20.500.12451/7332In this paper, we introduce the generalized bicomplex k-Fibonacci numbers. We also give the generating function and Binet's formula for these numbers. In addition, we obtain some identities such as Honsberger, d' Ocagne's, Catalan's, and Cassini's identities involving the generalized bicomplex k-Fibonacci numbers.eninfo:eu-repo/semantics/openAccessFibonacci Numbersk-Fibonacci NumbersBicomplex NumbersGeneralized Bicomplex NumbersGeneralized Bicomplex k-Fibonacci NumbersArticle25412313310.7546/nntdm.2019.25.4.123-133N/A