Blaschke Factor

If a is a point in the open unit disk, then the Blaschke factor is defined by


where a^_ is the complex conjugate of a. Blaschke factors allow the manipulation of the zeros of a holomorphic function analogously to factors of (z-a) for complex polynomials (Krantz 1999, p. 117).

See also

Blaschke Condition, Blaschke Factorization

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Krantz, S. G. "Blaschke Factors." §9.1.1 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 117, 1999.

Referenced on Wolfram|Alpha

Blaschke Factor

Cite this as:

Weisstein, Eric W. "Blaschke Factor." From MathWorld--A Wolfram Web Resource.

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