On q-generalized hyperharmonic numbers with two parameters

In this paper, we introduce q-generalized harmonic numbers with two parameters ω and ξ, H_{μ,λ,q}(ω,ξ) for integers μ, λ such that λ ≥ μ. With the help of these numbers, we define a new family of numbers which is called q-generalized hyperharmonic numbers with two parameters ω and ξ of order r, H_{μ,λ,q}^{r}(ω,ξ) for integer r. Then, we consider special matrices whose entries are given by these numbers and give some matrix multiplications. Additionally, we derive some combinatorial identities for H_{μ,λ,q}(ω,ξ) and H_{μ,λ,q}^{r}(ω,ξ) by matrix methods.