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A WZ-style proof of Jacobi polynomials' generating function

โœ Scribed by Sheldon Parnes; Shalosh B. Ekhad

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
68 KB
Volume
110
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES

A Symmetric Function Generalization of t
A Symmetric Function Generalization of the Chromatic Polynomial of a Graph
โœ R.P. Stanley ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 932 KB

For a finite graph \(G\) with \(d\) vertices we define a homogeneous symmetric function \(X_{4 ;}\) of degree \(d\) in the variables \(x_{1}, x_{2}, \ldots\). If we set \(x_{1}=\cdots=x_{n}=1\) and all other \(x_{t}=0\), then we obtain \(Z_{1}(n)\), the chromatic polynomial of (; evaluated at \(n\).