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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aa2q.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {9/2, 1/4}, z] == (1/(509184 z^(7/2))) ((184275 - 184275 E^(4 Sqrt[z]) + 368550 Sqrt[z] + 368550 E^(4 Sqrt[z]) Sqrt[z] + 249480 z - 249480 E^(4 Sqrt[z]) z + 7560 z^(3/2) + 7560 E^(4 Sqrt[z]) z^(3/2) - 40320 z^2 + 40320 E^(4 Sqrt[z]) z^2 + 40320 z^(5/2) + 40320 E^(4 Sqrt[z]) z^(5/2) - 43008 z^3 + 43008 E^(4 Sqrt[z]) z^3 + 67584 z^(7/2) + 67584 E^(4 Sqrt[z]) z^(7/2) - 294912 z^4 + 294912 E^(4 Sqrt[z]) z^4 - 8192 z^(9/2) - 8192 E^(4 Sqrt[z]) z^(9/2) + 32768 z^5 - 32768 E^(4 Sqrt[z]) z^5 + 2048 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-147 + 16 z) Erf[Sqrt[2] z^(1/4)] + 2048 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-147 + 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'> 249480 </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> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 249480 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 368550 </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> <times /> <cn type='integer'> 368550 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 184275 </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> </apply> <cn type='integer'> 184275 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










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





2007-05-02