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A random symmetric polynomial with increasing degree. (Russian. English summary) Zbl 0711.60021

Elementary symmetric polynomials of i.i.d. random variables with finite variance are considered. Non-normal limit distributions are found in the case where the degree of the polynomials tends to infinity more slowly than the number of variables.
Reviewer: T.F.Mori

MSC:

60F05 Central limit and other weak theorems
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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