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On n-arithmetical triangles constructed for polynomial coefficients

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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. We prove the symmetric and unimodal properties of the polynomial coefficients sequence and obtain the formulas for these coefficient calculations.

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Authors and Affiliations

  1. I. I. Mechnikov Odessa National University, ul. Dvoryanskaya 2, Odessa, 65082, Ukraine

    V. E. Kruglov

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  1. V. E. Kruglov
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Correspondence to V. E. Kruglov.

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Original Russian Text © V.E. Kruglov, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 8, pp. 35–48.

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Kruglov, V.E. On n-arithmetical triangles constructed for polynomial coefficients. Russ Math. 60, 29–41 (2016). https://doi.org/10.3103/S1066369X16080041

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