Second Factorization of the Generalized Lah Matrix

Caihuan Zhang1,2, Zhizheng Zhang3,4
1 Department of Mathematics, Luoyang Teachers’ College, Luoyang 471022, P.R.China
2Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
3Department of Mathematics, Luoyang Teachers’ College, Luoyang 471022, P.R.China
4College of Mathematics and Information Science, Henan University, Kaifeng 475001, P. R. China

Abstract

In \([3]\), we gave a factorization of the generalized Lah matrix.In this short note, we show its another factorization. From this factorization, several interesting combinatorial identities involving the Fibonacci numbers are obtained.