@Article{IJNAM-5-457,
author = {F. J. Hickernell and S. Yang},
title = {Explicit Hermite Interpolation Polynomials via the Cycle Index with Applications},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {3},
pages = {457--465},
abstract = {<p style="text-align: justify;">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&#39;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.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/821.html}
}