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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`=-3/2





http://functions.wolfram.com/07.22.03.8744.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), 7/4}, z] == (1/(87199580160 z^(3/4))) ((-4 z^(1/4) (2170943775 - 8005355820 Sqrt[z] + 3672511920 z - 11400903360 z^(3/2) + 4206343680 z^2 - 20827699200 z^(5/2) - 1607639040 z^3 + 6689292288 z^(7/2) + 89849856 z^4 - 362545152 z^(9/2) - 1048576 z^5 + 4194304 z^(11/2) + E^(4 Sqrt[z]) (-2170943775 - 8005355820 Sqrt[z] - 3672511920 z - 11400903360 z^(3/2) - 4206343680 z^2 - 20827699200 z^(5/2) + 1607639040 z^3 + 6689292288 z^(7/2) - 89849856 z^4 - 362545152 z^(9/2) + 1048576 z^5 + 4194304 z^(11/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (-2170943775 - 23156733600 z - 37050773760 z^2 - 87824056320 z^3 + 27022786560 z^4 - 1453326336 z^5 + 16777216 z^6) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (-2170943775 - 23156733600 z - 37050773760 z^2 - 87824056320 z^3 + 27022786560 z^4 - 1453326336 z^5 + 16777216 z^6) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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4194304 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1048576 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 362545152 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 89849856 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 6689292288 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 7 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1607639040 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> 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Rule Form





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





2007-05-02