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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.8106.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(5/2), -(7/4)}, z] == (1/85050) ((42525 + 42525 E^(4 Sqrt[z]) + 85050 Sqrt[z] - 85050 E^(4 Sqrt[z]) Sqrt[z] + 29160 z + 29160 E^(4 Sqrt[z]) z - 55080 z^(3/2) + 55080 E^(4 Sqrt[z]) z^(3/2) + 34560 z^2 + 34560 E^(4 Sqrt[z]) z^2 + 172800 z^(5/2) - 172800 E^(4 Sqrt[z]) z^(5/2) + 202500 z^3 + 202500 E^(4 Sqrt[z]) z^3 - 915792 z^(7/2) + 915792 E^(4 Sqrt[z]) z^(7/2) - 38784 z^4 - 38784 E^(4 Sqrt[z]) z^4 + 158208 z^(9/2) - 158208 E^(4 Sqrt[z]) z^(9/2) + 1024 z^5 + 1024 E^(4 Sqrt[z]) z^5 - 4096 z^(11/2) + 4096 E^(4 Sqrt[z]) z^(11/2) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (294975 - 943920 z + 158976 z^2 - 4096 z^3) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (294975 - 943920 z + 158976 z^2 - 4096 z^3) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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type='integer'> 294975 </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> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 172800 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 172800 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 34560 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 4 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</math>










Rule Form





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





2007-05-02