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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Specific values > Specialized values > Cases with arbitrary {m,n,p,q} > Case {m,n,p,q}={m,0,0,m}





http://functions.wolfram.com/07.34.03.1081.01









  


  








Input Form





MeijerG[{{}, {}}, {{b, b + 1/m, b + 2/m, \[Ellipsis], b + (m - 1)/m}, {}}, z] == ((2 Pi)^((1/2) (m - 1)) z^b)/Sqrt[m]/E^(m z^(1/m)) /; Element[m, Integers] && m > 0








Standard Form





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MathML Form







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</mo> <mo> , </mo> <mrow> <mi> b </mi> <mo> + </mo> <mfrac> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mi> m </mi> </mfrac> </mrow> </mrow> </mtd> </mtr> </mtable> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[SubsuperscriptBox[TagBox[&quot;G&quot;, MeijerG], RowBox[List[&quot;0&quot;, &quot;,&quot;, &quot;m&quot;]], RowBox[List[&quot;m&quot;, &quot;,&quot;, &quot;0&quot;]]], &quot;\[InvisibleApplication]&quot;, RowBox[List[&quot;(&quot;, RowBox[List[TagBox[&quot;z&quot;, MeijerG, Rule[Editable, True]], &quot;\[VerticalSeparator]&quot;, GridBox[List[List[RowBox[List[TagBox[&quot;b&quot;, MeijerG, Rule[Editable, True]], &quot;,&quot;, RowBox[List[&quot;b&quot;, &quot;+&quot;, TagBox[FractionBox[&quot;1&quot;, &quot;m&quot;], MeijerG, Rule[Editable, True]]]], &quot;,&quot;, RowBox[List[&quot;b&quot;, &quot;+&quot;, TagBox[FractionBox[&quot;2&quot;, &quot;m&quot;], MeijerG, Rule[Editable, True]]]], &quot;,&quot;, TagBox[&quot;\[Ellipsis]&quot;, MeijerG, Rule[Editable, True]], &quot;,&quot;, RowBox[List[&quot;b&quot;, &quot;+&quot;, TagBox[FractionBox[RowBox[List[&quot;m&quot;, &quot;-&quot;, &quot;1&quot;]], &quot;m&quot;], MeijerG, Rule[Editable, True]]]]]]]]]]], &quot;)&quot;]]]], MeijerG, Rule[Editable, True]] </annotation> </semantics> <mo> &#10869; 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2003-08-21