Let $k$ be a non-zero complex number. In this paper, we consider a $k$-circulant matrix with binomial coefficients. The inverse of such invertible matrix is determined. We also obtain the Moore\,-\,Penrose inverse (and the group inverse) of such singular matrix. The obtained results are illustrated by examples at the end of this paper.
"The inverse and the Moore-Penrose inverse of a $k$-circulant matrix with binomial coefficients." Bull. Belg. Math. Soc. Simon Stevin 27 (1) 29 - 42, may 2020. https://doi.org/10.36045/bbms/1590199301