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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`=-1/2





http://functions.wolfram.com/07.22.03.a9gg.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {-(1/2), 15/4}, z] == -((1/(2013265920 z^(11/4))) ((77 (4 z^(1/4) (1658475 + 2211300 Sqrt[z] + 311040 z - 933120 z^(3/2) + 622080 z^2 - 1689600 z^(5/2) + 491520 z^3 - 2162688 z^(7/2) - 65536 z^4 + 262144 z^(9/2) + E^(4 Sqrt[z]) (-1658475 + 2211300 Sqrt[z] - 311040 z - 933120 z^(3/2) - 622080 z^2 - 1689600 z^(5/2) - 491520 z^3 - 2162688 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-1658475 + 1458000 z - 1728000 z^2 - 5529600 z^3 - 8847360 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-1658475 + 1458000 z - 1728000 z^2 - 5529600 z^3 - 8847360 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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<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> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02