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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 8, Pages 35–48
(Mi ivm9141)
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This article is cited in 1 scientific paper (total in 1 paper)
On the $n$-arithmetical triangles constructed for polynomial coefficients
V. E. Kruglov I. I. Mechnikov Odessa National University, 2 Dvoryanskaya str., Odessa, 65082 Ukraine
Abstract:
A fundamental solution system to a finite order linear difference equation with constant coefficients is considerably used during the investigation of the $n$-arithmetical triangles properties. The constructed fundamental solution system is explicitly expressed via the coefficients of the difference equation. The symmetric and unimodal properties of the polynomial coefficients sequence are proved and the formulas for these coefficient calculations are obtained.
Keywords:
a linear difference equation, polynomial coefficients.
Received: 23.01.2015
Citation:
V. E. Kruglov, “On the $n$-arithmetical triangles constructed for polynomial coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8, 35–48; Russian Math. (Iz. VUZ), 60:8 (2016), 29–41
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https://www.mathnet.ru/eng/ivm9141 https://www.mathnet.ru/eng/ivm/y2016/i8/p35
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Abstract page: | 165 | Full-text PDF : | 103 | References: | 28 | First page: | 4 |
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