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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.9174.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), 5/4}, z] == (1/(29727129600 z^(1/4))) ((-4 z^(1/4) (618356025 - 1652786100 Sqrt[z] + 136704960 z - 477550080 z^(3/2) + 16657920 z^2 - 62269440 z^(5/2) + 1228800 z^3 - 4718592 z^(7/2) + 65536 z^4 - 262144 z^(9/2) + E^(4 Sqrt[z]) (618356025 + 1652786100 Sqrt[z] + 136704960 z + 477550080 z^(3/2) + 16657920 z^2 + 62269440 z^(5/2) + 1228800 z^3 + 4718592 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (4334247225 + 6083154000 z + 1853913600 z^2 + 245145600 z^3 + 18677760 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (4334247225 + 6083154000 z + 1853913600 z^2 + 245145600 z^3 + 18677760 z^4 + 1048576 z^5) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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</apply> </apply> <apply> <times /> <cn type='integer'> 1853913600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 6083154000 </cn> <ci> z </ci> </apply> <cn type='integer'> 4334247225 </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