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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=-1/4, b1`>=-11/2 > For fixed z and a1=-1/4, b1`=3/2





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









  


  










Input Form





HypergeometricPFQ[{-(1/4)}, {3/2, 23/4}, z] == (1/(8589934592 z^(19/4))) ((1463 (4 z^(1/4) (6081075 + 8108100 Sqrt[z] + 3991680 z + 380160 z^(3/2) - 207360 z^2 + 153600 z^(5/2) - 196608 z^(7/2) - 65536 z^4 + 262144 z^(9/2) + E^(4 Sqrt[z]) (-6081075 + 8108100 Sqrt[z] - 3991680 z + 380160 z^(3/2) + 207360 z^2 + 153600 z^(5/2) - 196608 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-6081075 + 2494800 z - 806400 z^2 + 368640 z^3 - 983040 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-6081075 + 2494800 z - 806400 z^2 + 368640 z^3 - 983040 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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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> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02