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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, b1>=-23/4 > For fixed z and a1=5, b1=-21/4





http://functions.wolfram.com/07.22.03.7404.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(21/4), 9/4}, z] == (1/(256628736 z^(5/4))) ((8 E^(2 Sqrt[z]) z^(1/4) (-31216185 - 52445232 z - 3229440 z^2 + 3895296 z^3 - 198144 z^4 + 8192 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (31216185 - 62432370 Sqrt[z] + 134469720 z - 185696280 z^(3/2) + 123409440 z^2 - 21422016 z^(5/2) - 22057728 z^3 + 15109248 z^(7/2) - 2629632 z^4 - 733184 z^(9/2) + 262144 z^5 + 32768 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (31216185 + 62432370 Sqrt[z] + 134469720 z + 185696280 z^(3/2) + 123409440 z^2 + 21422016 z^(5/2) - 22057728 z^3 - 15109248 z^(7/2) - 2629632 z^4 + 733184 z^(9/2) + 262144 z^5 - 32768 z^(11/2)) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<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> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02