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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-17/4





http://functions.wolfram.com/07.22.03.7736.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(17/4), 9/4}, z] == (1/(488816640 z^(5/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (36018675 + 77733540 z - 15216480 z^2 - 6701760 z^3 + 1157120 z^4 + 16384 z^5) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-36018675 + 72037350 Sqrt[z] - 196465500 z + 296881200 z^(3/2) - 166874400 z^2 - 36479520 z^(5/2) + 86898240 z^3 - 29356800 z^(7/2) - 7526400 z^4 + 4915200 z^(9/2) + 1196032 z^5 + 65536 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (36018675 + 72037350 Sqrt[z] + 196465500 z + 296881200 z^(3/2) + 166874400 z^2 - 36479520 z^(5/2) - 86898240 z^3 - 29356800 z^(7/2) + 7526400 z^4 + 4915200 z^(9/2) - 1196032 z^5 + 65536 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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<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