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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.7962.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(11/2), -(7/4)}, z] == (1/10478160) ((-4 (-1309770 - 2619540 Sqrt[z] - 1837080 z - 181440 z^(3/2) + 141120 z^2 - 407232 z^(5/2) + 31581 z^3 - 113028 z^(7/2) + 3552 z^4 - 13440 z^(9/2) + 256 z^5 - 1024 z^(11/2) + E^(4 Sqrt[z]) (-1309770 + 2619540 Sqrt[z] - 1837080 z + 181440 z^(3/2) + 141120 z^2 + 407232 z^(5/2) + 31581 z^3 + 113028 z^(7/2) + 3552 z^4 + 13440 z^(9/2) + 256 z^5 + 1024 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (1514205 + 440496 z + 52992 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (1514205 + 440496 z + 52992 z^2 + 4096 z^3) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 141120 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 181440 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1837080 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 2619540 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1309770 </cn> </apply> </apply> <cn type='integer'> -1309770 </cn> </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