
This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of \textit{R. A. Gustafson} and \textit{S. C. Milne} [Adv. Math. 48, 177-188 (1983; Zbl 0516.33015)] on Schur symmetric functions.
Mathematics(all), Symmetric functions and generalizations, Lagrange interpolation, symmetric function, Schur symmetric functions, Interpolation in approximation theory, Numerical methods for discrete and fast Fourier transforms
Mathematics(all), Symmetric functions and generalizations, Lagrange interpolation, symmetric function, Schur symmetric functions, Interpolation in approximation theory, Numerical methods for discrete and fast Fourier transforms
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