On the unimodality and combinatorics of Bessel numbers

被引：15

作者：

Choi, JY ^{[1
]}

Smith, JDH ^{[1
]}

机构：

[1] Iowa State Univ Sci & Technol, Dept Math, Ames, IA 50011 USA

来源：

DISCRETE MATHEMATICS | 2003年 / 264卷 / 1-3期

关键词：

Bessel polynomial; unimodal; Stirling number; orbit decomposition;

D O I：

10.1016/S0012-365X(02)00549-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Bessel numbers are reparametrized coefficients of Bessel polynomials. The paper investigates the analogies between Stirling numbers and Bessel numbers. A generating function for the Bessel numbers is obtained, and a proof of their unimodality is given. Stirling numbers and Bessel numbers are applied to the enumeration of orbit decompositions of various powers of permutation representations. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：45 / 53

页数：9

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