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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=-11/4, b1`>=-11/2 > For fixed z and a1=-11/4, b1`=9/2





http://functions.wolfram.com/07.22.03.a96u.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {9/2, 5/4}, z] == (1/(38188800 z^(7/2))) ((-467775 + 467775 E^(4 Sqrt[z]) - 935550 Sqrt[z] - 935550 E^(4 Sqrt[z]) Sqrt[z] - 415800 z + 415800 E^(4 Sqrt[z]) z + 415800 z^(3/2) + 415800 E^(4 Sqrt[z]) z^(3/2) - 887040 z^(5/2) - 887040 E^(4 Sqrt[z]) z^(5/2) + 7096320 z^3 - 7096320 E^(4 Sqrt[z]) z^3 + 1757520 z^(7/2) + 1757520 E^(4 Sqrt[z]) z^(7/2) - 7609920 z^4 + 7609920 E^(4 Sqrt[z]) z^4 - 207360 z^(9/2) - 207360 E^(4 Sqrt[z]) z^(9/2) + 841728 z^5 - 841728 E^(4 Sqrt[z]) z^5 + 4096 z^(11/2) + 4096 E^(4 Sqrt[z]) z^(11/2) - 16384 z^6 + 16384 E^(4 Sqrt[z]) z^6 + 4 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (2061675 - 1940400 z + 211200 z^2 - 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 4 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (2061675 - 1940400 z + 211200 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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<apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1940400 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 2061675 </cn> </apply> <apply> <ci> Erf </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'> 13 <sep /> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -4096 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 211200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1940400 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 2061675 </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'> 13 <sep /> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7096320 </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='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7096320 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 887040 </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'> -1 </cn> <apply> <times /> <cn type='integer'> 887040 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 415800 </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'> 3 <sep /> 2 </cn> </apply> </apply> <apply> 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Rule Form





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





2007-05-02