The zonal polynomials are a class of orthogonal polynomials. They are a special case of the Jack polynomials corresponding to the case
.
Zonal Polynomial
See also
Jack Polynomial, Schur Polynomial, Zonal HarmonicExplore with Wolfram|Alpha
References
Jack, H. "A Class of Symmetric Polynomials with a Parameter." Proc. Roy. Soc. Edinburgh Sec. A: Math. Phys. Sci. 69, 1-18, 1969-70.Macdonald, I. G. Symmetric Functions and Hall Polynomials, 2nd ed. Oxford, England: Oxford University Press, 1995.Referenced on Wolfram|Alpha
Zonal PolynomialCite this as:
Weisstein, Eric W. "Zonal Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZonalPolynomial.html