Blaschke product

In mathematics, the Blaschke product in complex analysis is an analytic function designed to have zeros at a (finite or infinite) sequence of prescribed complex numbers

Related Topics:
Mathematics - Complex analysis - Analytic function - Complex number

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:a0, a1, ...

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inside the unit disc. If the sequence is finite then the Blaschke product is also called a finite Blaschke product. Given such a sequence, subject to the condition that

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: Σ (1 − |an|)

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is convergent, define

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:B(z) = Π B(an, z)

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where the factor

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:B(a,z) = |a|/a·(z − a)/(1 − a*z)

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