Alexander P. Lyapin, “Riordan's Arrays and Two-dimensional Difference Equations”, J. Sib. Fed. Univ. Math. Phys., 2009, Volume 2, Issue 2,Pages <nobr>210

This article is cited in 2 papers

Riordan's Arrays and Two-dimensional Difference Equations

Alexander P. Lyapin

Institute of Education, Psychology and Sociology, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We describe of rational Riordan's arrays appearing in combinatorial analysis in terms of solutions of a Cauchy problem for a two-dimensional difference equation. The asymptotics of such arrays has been investigated.

Keywords: Riordan's arrays, multidimensional difference equations, Cauchy problem, the amoeba of a characteristic polynomial.

UDC: 517.55

Received: 08.02.2009
Received in revised form: 11.03.2009
Accepted: 30.04.2009