Title of article :
On signs of several Toeplitz--Hessenberg determinants whose elements contain central Delannoy numbers
Author/Authors :
Niu ، Da-Wei Department of Science - Henan University of Animal Husbandry and Economy , Li ، Wen-Hui School of Economics - Technology and Media University of Henan Kaifeng , Qi ، Feng Institute of Mathematics - Henan Polytechnic University
Abstract :
In the paper, by virtue of Wronski’s formula and Kaluza’s theorem for the power series and its reciprocal, and with the aid of the logarithmic convexity of a sequence constituted by central Delannoy numbers, the authors present negativity of several Toeplitz–Hessenberg determinants whose elements contain central Delannoy numbers and combinatorial numbers.
Keywords :
sign , negativity , logarithmic convexity , Toeplitz–Hessenberg determinant , central Delannoy number , factorial , Wronski’s formula , Kaluza’s theorem
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
