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On signs of several Toeplitz--Hessenberg determinants whose elements contain central Delannoy numbers | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 5، دوره 8، شماره 4، اسفند 2023، صفحه 665-671 اصل مقاله (361.04 K) | ||
| نوع مقاله: Short notes | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27707.1324 | ||
| نویسندگان | ||
| Da-Wei Niu1؛ Wen-Hui Li2؛ Feng Qi* 3 | ||
| 1Department of Science, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, Henan, China | ||
| 2School of Economics, Technology and Media University of Henan Kaifeng, Henan, Kaifeng 475001, China | ||
| 3Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454003, Henan, China | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| negativity؛ Toeplitz--Hessenberg determinant؛ central Delannoy number؛ Wronski' s formula؛ Kaluza' s theorem | ||
| مراجع | ||
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