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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`=-3/2





http://functions.wolfram.com/07.22.03.9318.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(3/2), 5/4}, z] == (1/(530841600 z^(1/4))) ((4 z^(1/4) (4141125 + 49758300 Sqrt[z] - 2557440 z + 70744320 z^(3/2) + 29790720 z^2 - 128808960 z^(5/2) - 3440640 z^3 + 13959168 z^(7/2) + 65536 z^4 - 262144 z^(9/2) + E^(4 Sqrt[z]) (4141125 - 49758300 Sqrt[z] - 2557440 z - 70744320 z^(3/2) + 29790720 z^2 + 128808960 z^(5/2) - 3440640 z^3 - 13959168 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (-62214075 - 237006000 z - 361152000 z^2 + 525312000 z^3 - 56033280 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-62214075 - 237006000 z - 361152000 z^2 + 525312000 z^3 - 56033280 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> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 4 </cn> </apply> </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