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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-23/4





http://functions.wolfram.com/07.22.03.6804.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(23/4), 15/4}, z] == (1/(3356160 z^(11/4))) ((-48 E^(2 Sqrt[z]) z^(3/4) (80405325 + 24324300 z + 3390160 z^2 + 236672 z^3 + 5376 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-723647925 + 1447295850 Sqrt[z] - 1459458000 z + 989188200 z^(3/2) - 508107600 z^2 + 211891680 z^(5/2) - 74511360 z^3 + 22176000 z^(7/2) - 5402880 z^4 + 1006080 z^(9/2) - 126976 z^5 + 8192 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (723647925 + 1447295850 Sqrt[z] + 1459458000 z + 989188200 z^(3/2) + 508107600 z^2 + 211891680 z^(5/2) + 74511360 z^3 + 22176000 z^(7/2) + 5402880 z^4 + 1006080 z^(9/2) + 126976 z^5 + 8192 z^(11/2)) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1459458000 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 1447295850 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 723647925 </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