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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`=-7/2





http://functions.wolfram.com/07.22.03.8050.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), -(15/4)}, z] == (1/3638250) ((1819125 + 1819125 E^(4 Sqrt[z]) + 3638250 Sqrt[z] - 3638250 E^(4 Sqrt[z]) Sqrt[z] + 2841300 z + 2841300 E^(4 Sqrt[z]) z + 831600 z^(3/2) - 831600 E^(4 Sqrt[z]) z^(3/2) - 105840 z^2 - 105840 E^(4 Sqrt[z]) z^2 - 26880 z^(5/2) + 26880 E^(4 Sqrt[z]) z^(5/2) + 49920 z^3 + 49920 E^(4 Sqrt[z]) z^3 - 61440 z^(7/2) + 61440 E^(4 Sqrt[z]) z^(7/2) + 102400 z^4 + 102400 E^(4 Sqrt[z]) z^4 - 458752 z^(9/2) + 458752 E^(4 Sqrt[z]) z^(9/2) - 16384 z^5 - 16384 E^(4 Sqrt[z]) z^5 + 65536 z^(11/2) - 65536 E^(4 Sqrt[z]) z^(11/2) + 4096 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) (-115 + 16 z) Erf[Sqrt[2] z^(1/4)] + 4096 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) (-115 + 16 z) 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='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 49920 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 26880 </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> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 26880 </cn> <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'> 105840 </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> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 105840 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 831600 </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> <apply> <times /> <cn type='integer'> 831600 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2841300 </cn> 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Rule Form





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





2007-05-02