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From this expression, it follows that <math>\frac{1}{z!(-z)!}</math> is [[entire function]] of <math>z</math>. <math>f(z)=\frac{1}{z!}</math> is [[entire function]], that grows in the left hand side of the complex plane and quickly decays

...and hence the ''reciprocal gamma function'' <math>1/\Gamma</math> is an [[entire function]], with zeros at ''z''&nbsp;=&nbsp;0,&nbsp;&minus;1,&nbsp;&minus;2,.... We ...hat is known as the [[Weierstrass factorization theorem]] &mdash; that any entire function can be written as a product over its zeros in the complex plane; a generali

...s powers of the exponential; in particular, <math>\sqrt{\exp}</math>. Such entire function is shown in upper part of figure 1c in <ref name="k">k</ref>, in order to r