Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 457–465
Abstract
The cycle index polynomial of a symmetric group is a basic tool in combinatorics and especially in Pόlya enumeration theory. It seems irrelevant to numerical analysis. Through Faá di Bruno's formula, cycle index is connected with numerical analysis. In this work, the Hermite interpolation polynomial is explicitly expressed in terms of cycle index. Applications in Gauss-Turán quadrature formula are also considered.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-821
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 457–465
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: symmetric group cycle index polynomial Faá di Bruno's formula Bell's polynomial Hermite interpolation polynomial Gauss-Turán quadrature formula.