Changes

==Infinite Product representation of entire functions==

==Infinite Product representation of entire functions==

[[Karl Weierstrass]] proved that every [[entire function]] ''f''(''z'') with a sequence (λ_''n'') of zeros that does not have a [[limit point]], can be factored into an infinite product of the form:

[[Karl Weierstrass]] proved that every [[entire function]] ''f''(''z'') with a sequence (λ_''n'') of zeros that does not [[limit point|accumulate]], can be factored into an infinite product of the form:

:<math>

:<math>

f(z) = z^m \; e^{\phi(z)} \; \prod_{n=1}^{\infty} \left(1 - \frac{z}{\lambda_n} \right) \;

f(z) = z^m \; e^{\phi(z)} \; \prod_{n=1}^{\infty} \left(1 - \frac{z}{\lambda_n} \right) \;