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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=1/2





http://functions.wolfram.com/07.22.03.a9i0.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {1/2, 23/4}, z] == (209 (4 z^(1/4) (-32564156625 - 43418875500 Sqrt[z] - 20432412000 z - 778377600 z^(3/2) + 1633685760 z^2 - 891233280 z^(5/2) - 201277440 z^3 + 928972800 z^(7/2) - 928972800 z^4 + 4882956288 z^(9/2) + 446693376 z^5 - 1837105152 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (32564156625 - 43418875500 Sqrt[z] + 20432412000 z - 778377600 z^(3/2) - 1633685760 z^2 - 891233280 z^(5/2) + 201277440 z^3 + 928972800 z^(7/2) + 928972800 z^4 + 4882956288 z^(9/2) - 446693376 z^5 - 1837105152 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (32564156625 - 14302688400 z + 4800902400 z^2 - 2032128000 z^3 + 2167603200 z^4 + 20808990720 z^5 - 7398752256 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (32564156625 - 14302688400 z + 4800902400 z^2 - 2032128000 z^3 + 2167603200 z^4 + 20808990720 z^5 - 7398752256 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(11544872091648 z^(19/4))










Standard Form





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MathML Form







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</apply> <apply> <times /> <cn type='integer'> 2167603200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2032128000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4800902400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 14302688400 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 32564156625 </cn> </apply> <apply> <ci> Erf </ci> <apply> <times /> <apply> <power /> <cn type='integer'> 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> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 268435456 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7398752256 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 20808990720 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2167603200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2032128000 </cn> <apply> <power /> <ci> z </ci> <cn 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Rule Form





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





2007-05-02