Geodesic
On the $n$-arithmetical triangles constructed for polynomial coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 35-48

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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
Mots-clés : polynomial coefficients. 
@article{IVM_2016_8_a3,
     author = {V. E. Kruglov},
     title = {On the $n$-arithmetical triangles constructed for polynomial coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--48},
     publisher = {mathdoc},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_8_a3/}
}
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V. E. Kruglov. On the $n$-arithmetical triangles constructed for polynomial coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 35-48. http://geodesic.mathdoc.fr/item/IVM_2016_8_a3/