Catalan transform of the k-Lucas sequence

In this study, the 〖CL〗_(k,n) description of Catalan transformation of k-Lucas series given by Falcon was explained. The 〖CL〗_(k,n) generating function of Catalan transformation of k-Lucas series was ensued. And also, 〖CL〗_(k,n) transformation was written as the multiplying of Catalan matris C which is the lower triangular matris, and the L_k matris of n x 1 type. Determinants of matrises which were formed with 〖CL〗_(k,n) by using Hankel function were calculated. 2019, 31 pages Keywords: k-Lucas, k-Fibonacci, Catalan, Hankel