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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=6, b1>=-23/4 > For fixed z and a1=6, b1=-15/4





http://functions.wolfram.com/07.22.03.7758.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(15/4), 15/4}, z] == (1/(117964800 z^(11/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (-42567525 - 24324300 z - 3915360 z^2 + 4259904 z^3 - 116736 z^4 + 16384 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-127702575 + 255405150 Sqrt[z] - 291891600 z + 243243000 z^(3/2) - 176904000 z^2 + 120294720 z^(5/2) - 44029440 z^3 - 20442240 z^(7/2) + 31449600 z^4 - 11980800 z^(9/2) - 638976 z^5 + 1277952 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (127702575 + 255405150 Sqrt[z] + 291891600 z + 243243000 z^(3/2) + 176904000 z^2 + 120294720 z^(5/2) + 44029440 z^3 - 20442240 z^(7/2) - 31449600 z^4 - 11980800 z^(9/2) + 638976 z^5 + 1277952 z^(11/2) - 131072 z^6) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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176904000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 243243000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 291891600 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 255405150 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 127702575 </cn> </apply> <apply> <ci> Erfi </ci> <apply> <times /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 4 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02