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Dickson–Stirling numbers
Published online by Cambridge University Press: 20 January 2009
Abstract
The Dickson polynomial Dn, (x, a) of degree n is defined by denotes the greatest integer function. In particular, we define D0 (x, a) = 2 for all real x and a. By using Dickson polynomials we present new types of generalized Stirling numbers of the first and second kinds. Some basic properties of these numbers and a combinatorial application to the enumeration of functions on finite sets in terms of their range values is also given.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 3 , October 1997 , pp. 409 - 423
- Copyright
- Copyright © Edinburgh Mathematical Society 1997
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