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Formulas for zonal polynomials

Author

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  • Kushner, H. B.
  • Meisner, Morris

Abstract

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.

Suggested Citation

  • Kushner, H. B. & Meisner, Morris, 1984. "Formulas for zonal polynomials," Journal of Multivariate Analysis, Elsevier, vol. 14(3), pages 336-347, June.
    • Handle: RePEc:eee:jmvana:v:14:y:1984:i:3:p:336-347
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    Cited by:

    1. N. Bansal & M. Bhandary, 1991. "Bayes estimation of number of signals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(2), pages 227-243, June.

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