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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`=3/2





http://functions.wolfram.com/07.22.03.8286.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {3/2, -(19/4)}, z] == (1/(1374931057500 Sqrt[z])) ((-316234143225 + 316234143225 E^(4 Sqrt[z]) + 54997242300 Sqrt[z] + 54997242300 E^(4 Sqrt[z]) Sqrt[z] - 10475665200 z + 10475665200 E^(4 Sqrt[z]) z + 2205403200 z^(3/2) + 2205403200 E^(4 Sqrt[z]) z^(3/2) - 518918400 z^2 + 518918400 E^(4 Sqrt[z]) z^2 + 138378240 z^(5/2) + 138378240 E^(4 Sqrt[z]) z^(5/2) - 42577920 z^3 + 42577920 E^(4 Sqrt[z]) z^3 + 15482880 z^(7/2) + 15482880 E^(4 Sqrt[z]) z^(7/2) - 6881280 z^4 + 6881280 E^(4 Sqrt[z]) z^4 + 3932160 z^(9/2) + 3932160 E^(4 Sqrt[z]) z^(9/2) - 3145728 z^5 + 3145728 E^(4 Sqrt[z]) z^5 + 4194304 z^(11/2) + 4194304 E^(4 Sqrt[z]) z^(11/2) - 16777216 z^6 + 16777216 E^(4 Sqrt[z]) z^6 - 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(25/4) Erf[Sqrt[2] z^(1/4)] - 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(25/4) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<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> <times /> <cn type='integer'> 138378240 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 518918400 </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'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 518918400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2205403200 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn 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Date Added to functions.wolfram.com (modification date)





2007-05-02