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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=3, a2>=3 > For fixed z and a1=3, a2=9/2, b1>=-11/2 > For fixed z and a1=3, a2=9/2, b1=-7/2





http://functions.wolfram.com/07.25.03.akcm.01









  


  










Input Form





HypergeometricPFQ[{3, 9/2}, {-(7/2), -(7/2)}, -z] == (1/1157625) (1157625 - 1275750 z + 2245320 z^2 - 10810800 z^3 + 486486000 z^4 - 17252595360 z^5 + 59872001280 z^6 - 68260695552 z^7 + 35551868160 z^8 - 9780661760 z^9 + 1523324928 z^10 - 137498624 z^11 + 7057408 z^12 - 189440 z^13 + 2048 z^14) - (1/1157625) ((512 Sqrt[Pi] (5765760 z^(9/2) - 64995840 z^(11/2) + 163457280 z^(13/2) - 161226240 z^(15/2) + 77780640 z^(17/2) - 20471808 z^(19/2) + 3103072 z^(21/2) - 275264 z^(23/2) + 13967 z^(25/2) - 372 z^(27/2) + 4 z^(29/2)) Erfi[Sqrt[z]])/E^z)










Standard Form





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MathML Form







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type='integer'> 17252595360 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 486486000 </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'> 10810800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2245320 </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'> 1275750 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 1157625 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='rational'> 1 <sep /> 1157625 </cn> <apply> <times /> <cn type='integer'> 512 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> 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20471808 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 19 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 77780640 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 17 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 161226240 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 163457280 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 13 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 64995840 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5765760 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> Erfi </ci> <apply> <power /> <ci> z </ci> 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Rule Form





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





2007-05-02