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Eberlein Polynomial

The Eberlein polynomials of degree 2k and variable x are the orthogonal polynomials arising in the Johnson scheme that may be defined by

E_k^((n,v))(x)=sum_(j=0)^(k)(-1)^(k-j)(n-j; k-j)(n-x; j)(v-n+j-x; j)
(1)
=sum_(j=0)^(k)(-1)^j(x; j)(n-x; k-j)(v-n-x; k-j).
(2)

See also

Johnson Scheme

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References

Schrijver, A. "A Comparison of the Delsarte and Lovász Bounds." IEEE Trans. Inform. Th. 25, 425-429, 1979.

Referenced on Wolfram|Alpha

Eberlein Polynomial

Cite this as:

Weisstein, Eric W. "Eberlein Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EberleinPolynomial.html

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