Formulas for zonal polynomials

New integral and differential formulas for zonal polynomials are proved. As illustrations, zonal polynomials corresponding to partitions of two parts are computed. A method is presented, based on a certain partial differential operator, for expressing an orthogonally invariant polynomial as a linear combination of zonals. Zonal polynomials are expressed as linear combinations of well-known symmetric polynomials.

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Year of publication:	1984
Authors:	Kushner, H. B. ; Meisner, Morris
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 14.1984, 3, p. 336-347
Publisher:	Elsevier
Keywords:	Zonal polynomials EP functions partitions orthogonally invariant polynomials

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005221629