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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=3/2





http://functions.wolfram.com/07.22.03.a7qg.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {3/2, -(9/4)}, z] == (1/(11850300 Sqrt[z])) ((-2297295 + 2297295 E^(4 Sqrt[z]) + 1330560 Sqrt[z] + 1330560 E^(4 Sqrt[z]) Sqrt[z] - 680400 z + 680400 E^(4 Sqrt[z]) z + 376320 z^(3/2) + 376320 E^(4 Sqrt[z]) z^(3/2) - 249600 z^2 + 249600 E^(4 Sqrt[z]) z^2 + 221184 z^(5/2) + 221184 E^(4 Sqrt[z]) z^(5/2) - 315392 z^3 + 315392 E^(4 Sqrt[z]) z^3 + 1310720 z^(7/2) + 1310720 E^(4 Sqrt[z]) z^(7/2) + 16384 z^4 - 16384 E^(4 Sqrt[z]) z^4 - 65536 z^(9/2) - 65536 E^(4 Sqrt[z]) z^(9/2) - 4096 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-323 + 16 z) Erf[Sqrt[2] z^(1/4)] + 4096 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (-323 + 16 z) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<times /> <cn type='integer'> 1330560 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2297295 </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'> -2297295 </cn> </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