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A FINITE DIFFERENCE APPROACH TO DEGENERATE BERNOULLI AND STIRLING POLYNOMIALS
 

Summary: A FINITE DIFFERENCE APPROACH TO DEGENERATE
BERNOULLI AND STIRLING POLYNOMIALS
Arnold Adelberg
Department of Mathematics and Computer Science, Grinnell College, Grinnell, Iowa 50112
Revised February 3, 1992
1

RUNNING HEAD: Degen Bernoulli/Stirling Pols
Professor Arnold Adelberg
Department of Mathematics and Computer Science
Grinnell College
P.O. Box 805
Grinnell, IA 50112­0806
2

Abstract
Starting with divided differences of binomial coefficients, a class of multivalued polyno­
mials (three parameters), which includes Bernoulli and Stirling polynomials and various
generalizations, is developed. These carry a natural and convenient combinatorial interpre­
tation. Some particular calculations are done and several factorization results are proven

  

Source: Adelberg, Arnold - Department of Mathematics and Computer Science, Grinnell College

 

Collections: Mathematics