Abstract
An important role in the classical theory of symmetric functions of a real n-tuple x = (x1, x2, …, xn) is played by the complete symmetric functions or homogeneous product sums hr defined by the generating function(see Littlewood (5), p. 82). In an earlier paper (4) I conjectured that h2r is positive definite. The main object of the present paper is to prove this conjecture in a rather sharper form.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. On the Group of Linear Transformations Leaving a Polynomial Invariant
2. (1) Chisholm J. S. R. Convergence properties of Padé approximants. Proceedings of a conference on Padé approximants and their applications. University of Kent, 1972.
3. Some properties of orthogonal polynomials
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