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.
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页码：1 / 21
页数：21
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