On signs of several Toeplitz--Hessenberg determinants whose elements contain central Delannoy numbers

Document Type : Short notes

Authors

1 Department of Science, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, Henan, China

2 School of Economics, Technology and Media University of Henan Kaifeng, Henan, Kaifeng 475001, China

3 Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454003, Henan, China

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.

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References

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Communications in Combinatorics and Optimization
Volume 8, Issue 4
December 2023
Pages 665-671

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