@Article{IJNAM-5-3,
author = {},
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/2008-IJNAM-821},
url = {https://global-sci.com/article/83719/explicit-hermite-interpolation-polynomials-via-the-cycle-index-with-applications}
}