
<A NAME=MeijerG>

<TITLE>MeijerG</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>MEIJERG</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
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The <em>MeijerG</em> operator provides simplifications for Meijer's G 
function. The simplifications are performed towards polynomials, 
elementary or 
special functions or (generalized) 
<A HREF=r37_0528.html>hypergeometric</A> functions. 
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The <em>MeijerG</em> operator is included in the package specfn2. 
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 <P> <H3> 
syntax: </H3>
<em>MeijerG</em>(&lt;list of parameters&gt;,&lt;list of parameters&gt;, 
 &lt;argument&gt;) 
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The first element of the lists has to be the list containing the 
first group (mostly called ``m'' and ``n'') of parameters. This passes 
the four parameters of a Meijer's G function implicitly via the 
length of the lists. 
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 <P> <H3> 
examples: </H3>
<P><PRE><TT>
load specfn2;

MeijerG({{},1},{{0}},x); 

  heaviside(-x+1)


MeijerG({{}},{{1+1/4},1-1/4},(x^2)/4) * sqrt pi;
 


                  2
  sqrt(2)*sin(x)*x
  ------------------
      4*sqrt(x)

</TT></PRE><P>Many well-known functions can be written as G functions, 
e.g. exponentials, logarithms, trigonometric functions, Bessel functions 
and hypergeometric functions. 
The formulae can be found e.g. in 
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<P>
A.P.Prudnikov, Yu.A.Brychkov, O.I.Marichev: 
Integrals and Series, Volume 3: More special functions, 
Gordon and Breach Science Publishers (1990). 
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