<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<?xml-stylesheet type="text/css"
   href="/~hammond/style/gellmuart.css"?>
<!DOCTYPE article
  PUBLIC "-//GNU GPL: William F. Hammond//DTD GELLMU XML 0.7.6L//EN"
  "http://www.albany.edu/~hammond/gellmu/xml/axgellmu.dtd">
<article stem="gammabit"
><preamble
><title
></title></preamble><body
><parb
>The following identity may be regarded as a formulation of the
Weierstrass product for the Gamma function<eos
/>
<displaymath
> <int
><sub
>0</sub><sup
><infty
/></sup><sipbody
>t<sup
>x</sup> e<sup
><hyp
/>t</sup> <frac
><numr
>dt</numr><denm
>t</denm></frac> </sipbody></int>
   <eqs
/> <frac
><numr
>1</numr><denm
>x</denm></frac>
     <prod
><sub
>k<eqs
/>1</sub><sup
><infty
/></sup><sipbody
><frac
><numr
><bal
>1 <plu
/> <frac
><numr
>1</numr><denm
>k</denm></frac></bal><sup
>x</sup></numr><denm
><bal
>1 <plu
/> <frac
><numr
>x</numr><denm
>k</denm></frac></bal></denm></frac>
     </sipbody></prod> </displaymath>
Understanding the derivation of this identity is reasonable for
a bright student of first year undergraduate calculus in the
United States<eos
/>
</parb></body></article>
