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





http://functions.wolfram.com/07.22.03.aak8.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, 7/4}, z] == -((1/(4922368 z^(9/2))) ((9 (-121275 + 121275 E^(4 Sqrt[z]) - 242550 Sqrt[z] - 242550 E^(4 Sqrt[z]) Sqrt[z] - 170100 z + 170100 E^(4 Sqrt[z]) z - 16800 z^(3/2) - 16800 E^(4 Sqrt[z]) z^(3/2) + 24720 z^2 - 24720 E^(4 Sqrt[z]) z^2 - 14400 z^(5/2) - 14400 E^(4 Sqrt[z]) z^(5/2) + 2560 z^3 - 2560 E^(4 Sqrt[z]) z^3 + 51200 z^(7/2) + 51200 E^(4 Sqrt[z]) z^(7/2) + 27520 z^4 - 27520 E^(4 Sqrt[z]) z^4 - 116224 z^(9/2) - 116224 E^(4 Sqrt[z]) z^(9/2) - 2048 z^5 + 2048 E^(4 Sqrt[z]) z^5 + 8192 z^(11/2) + 8192 E^(4 Sqrt[z]) z^(11/2) + 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (2185 - 3680 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (2185 - 3680 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])))










Standard Form





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MathML Form







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<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'> 15 <sep /> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 51200 </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'> 7 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 51200 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 7 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2560 </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> 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Rule Form





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





2007-05-02