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Gram Determinant

The determinant

G(f_1,f_2,...,f_n)=|intf_1^2dt intf_1f_2dt ... intf_1f_ndt; intf_2f_1dt intf_2^2dt ... intf_2f_ndt; | | ... |; intf_nf_1dt intf_nf_2dt ... intf_n^2dt|.

See also

Gram-Schmidt Orthonormalization, Wronskian

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References

Andrews, G. E.; Askey, R.; and Roy, R. "Jacobi Polynomials and Gram Determinants." §6.3 in Special Functions. Cambridge, England: Cambridge University Press, pp. 293-297, 1999.Sansone, G. Orthogonal Functions, rev. English ed. New York: Dover, p. 2, 1991.

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Gram Determinant

Cite this as:

Weisstein, Eric W. "Gram Determinant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GramDeterminant.html

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