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Reciprocal Polynomial

Given a polynomial in a single complex variable with complex coefficients

p(z)=a_nz^n+a_(n-1)z^(n-1)+...+a_0,

the reciprocal polynomial is defined by

p^*(z)=a^__0z^n+a^__1z^(n-1)+...+a^__n,

where a^_ denotes the complex conjugate.

See also

Schur Transform

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References

Henrici, P. Applied and Computational Complex Analysis, Vol. 1: Power Series-Integration-Conformal Mapping-Location of Zeros. New York: Wiley, p. 492, 1988.

Referenced on Wolfram|Alpha

Reciprocal Polynomial

Cite this as:

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

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