Difference between revisions of "Weierstrass elementary factors"

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The Weierstrass elementary factors $E_n$ are defined for $n \in \{0,1,2,\ldots\}$ by
 
The Weierstrass elementary factors $E_n$ are defined for $n \in \{0,1,2,\ldots\}$ by
 
$$E_n(z)=\left\{ \begin{array}{ll}
 
$$E_n(z)=\left\{ \begin{array}{ll}
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=Properties=
 
=Properties=
 
[[Weierstrass elementary factors inequality]]<br />
 
[[Weierstrass elementary factors inequality]]<br />
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=See also=
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[[Weierstrass factorization theorem]]<br />
  
 
=References=
 
=References=
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Revision as of 19:12, 26 November 2016

The Weierstrass elementary factors $E_n$ are defined for $n \in \{0,1,2,\ldots\}$ by $$E_n(z)=\left\{ \begin{array}{ll} 1-z &; n=0 \\ (1-z)e^{z+\frac{z^2}{2}+\frac{z^3}{3}+\ldots+\frac{z^n}{n}} &; \mathrm{otherwise}. \end{array} \right.$$

Properties

Weierstrass elementary factors inequality

See also

Weierstrass factorization theorem

References