A FINITE-DIFFERENCE APPROACH TO DEGENERATE BERNOULLI AND STIRLING POLYNOMIALS

被引：21

作者：

ADELBERG, A ^{[1
]}

机构：

[1] GRINNELL COLL,DEPT MATH & COMP SCI,GRINNELL,IA 50112

来源：

DISCRETE MATHEMATICS | 1995年 / 140卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(93)E0188-A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling polynomials and various generalizations, is developed. These carry a natural and convenient combinatorial interpretation. Calculation of particular values of the polynomials yields some binomial identities. Properties of the polynomials are established and several factorization results are proven and conjectured.

引用

页码：1 / 21

页数：21

共 17 条

[1] ON THE DEGREES OF IRREDUCIBLE FACTORS OF HIGHER-ORDER BERNOULLI POLYNOMIALS [J].