• 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

  • From page
    665
  • To page
    671
  • 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
  • Record number

    2741121