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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.8528.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), -(17/4)}, z] == (1/206756550) ((103378275 + 103378275 E^(4 Sqrt[z]) + 206756550 Sqrt[z] - 206756550 E^(4 Sqrt[z]) Sqrt[z] + 183537900 z + 183537900 E^(4 Sqrt[z]) z + 91400400 z^(3/2) - 91400400 E^(4 Sqrt[z]) z^(3/2) + 25855200 z^2 + 25855200 E^(4 Sqrt[z]) z^2 + 3356640 z^(5/2) - 3356640 E^(4 Sqrt[z]) z^(5/2) - 6720 z^3 - 6720 E^(4 Sqrt[z]) z^3 + 3840 z^(7/2) - 3840 E^(4 Sqrt[z]) z^(7/2) - 3072 z^4 - 3072 E^(4 Sqrt[z]) z^4 + 4096 z^(9/2) - 4096 E^(4 Sqrt[z]) z^(9/2) - 16384 z^5 - 16384 E^(4 Sqrt[z]) z^5 - 16384 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(21/4) Erf[Sqrt[2] z^(1/4)] + 16384 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(21/4) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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type='integer'> 206756550 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 206756550 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 103378275 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <cn type='integer'> 103378275 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










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





2007-05-02