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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`=5/2





http://functions.wolfram.com/07.22.03.8940.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {5/2, 11/4}, z] == (-4 z^(1/4) (8875936517175 + 34828516768500 Sqrt[z] + 95396900770080 z - 507030136583040 z^(3/2) - 59874855264000 z^2 + 259519411952640 z^(5/2) + 7579040071680 z^3 - 31178915905536 z^(7/2) - 301272072192 z^4 + 1217353482240 z^(9/2) + 4146069504 z^5 - 16634609664 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (-8875936517175 + 34828516768500 Sqrt[z] - 95396900770080 z - 507030136583040 z^(3/2) + 59874855264000 z^2 + 259519411952640 z^(5/2) - 7579040071680 z^3 - 31178915905536 z^(7/2) + 301272072192 z^4 + 1217353482240 z^(9/2) - 4146069504 z^5 - 16634609664 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (25614965601225 + 318764016370800 z - 2185810397971200 z^2 + 1059786859622400 z^3 - 125604368547840 z^4 + 4881789222912 z^5 - 66588770304 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (25614965601225 + 318764016370800 z - 2185810397971200 z^2 + 1059786859622400 z^3 - 125604368547840 z^4 + 4881789222912 z^5 - 66588770304 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(6859118975385600 z^(7/4))










Standard Form





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MathML Form







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type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7579040071680 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 259519411952640 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 59874855264000 </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'> 507030136583040 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 95396900770080 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 34828516768500 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -8875936517175 </cn> </apply> </apply> 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Rule Form





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





2007-05-02