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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.9756.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {-(9/2), 11/4}, z] == (1/(2174327193600 z^(7/4))) ((4 z^(1/4) (155772264375 + 207696352500 Sqrt[z] - 33231416400 z + 100886472000 z^(3/2) - 6688258560 z^2 + 24353556480 z^(5/2) - 646225920 z^3 + 2470871040 z^(7/2) - 34406400 z^4 + 134479872 z^(9/2) - 1048576 z^5 + 4194304 z^(11/2) + E^(4 Sqrt[z]) (-155772264375 + 207696352500 Sqrt[z] + 33231416400 z + 100886472000 z^(3/2) + 6688258560 z^2 + 24353556480 z^(5/2) + 646225920 z^3 + 2470871040 z^(7/2) + 34406400 z^4 + 134479872 z^(9/2) + 1048576 z^5 + 4194304 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-155772264375 + 199388498400 z + 379787616000 z^2 + 95319244800 z^3 + 9776332800 z^4 + 534773760 z^5 + 16777216 z^6) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-155772264375 + 199388498400 z + 379787616000 z^2 + 95319244800 z^3 + 9776332800 z^4 + 534773760 z^5 + 16777216 z^6) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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534773760 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9776332800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 95319244800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 379787616000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 199388498400 </cn> <ci> z </ci> </apply> <cn type='integer'> -155772264375 </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> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 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Date Added to functions.wolfram.com (modification date)





2007-05-02