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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.ad9s.01









  


  










Input Form





HypergeometricPFQ[{9/4}, {-(11/2), 17/4}, z] == (1/(9688842240 z^(13/4))) ((13 (4 z^(1/4) (1996138596375 + 2661518128500 Sqrt[z] + 2027823336000 z + 1081505779200 z^(3/2) + 432602311680 z^2 + 134837084160 z^(5/2) + 33130168320 z^3 + 6332743680 z^(7/2) + 900464640 z^4 + 85983232 z^(9/2) + 4194304 z^5 + E^(4 Sqrt[z]) (1996138596375 - 2661518128500 Sqrt[z] + 2027823336000 z - 1081505779200 z^(3/2) + 432602311680 z^2 - 134837084160 z^(5/2) + 33130168320 z^3 - 6332743680 z^(7/2) + 900464640 z^4 - 85983232 z^(9/2) + 4194304 z^5)) + 6336947925 E^(2 Sqrt[z]) Sqrt[2 Pi] (-315 + 16 z) Erf[Sqrt[2] z^(1/4)] + 6336947925 E^(2 Sqrt[z]) Sqrt[2 Pi] (-315 + 16 z) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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</cn> <ci> z </ci> </apply> <cn type='integer'> -315 </cn> </apply> <apply> <ci> Erfi </ci> <apply> <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