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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.a9hs.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {1/2, 15/4}, z] == (1/(1006632960 z^(11/4))) ((11 (4 z^(1/4) (-893025 - 1190700 Sqrt[z] + 181440 z + 967680 z^(3/2) - 1451520 z^2 + 8816640 z^(5/2) + 1228800 z^3 - 5111808 z^(7/2) - 65536 z^4 + 262144 z^(9/2) + E^(4 Sqrt[z]) (893025 - 1190700 Sqrt[z] - 181440 z + 967680 z^(3/2) + 1451520 z^2 + 8816640 z^(5/2) - 1228800 z^3 - 5111808 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (893025 - 1134000 z + 2419200 z^2 + 38707200 z^3 - 20643840 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (893025 - 1134000 z + 2419200 z^2 + 38707200 z^3 - 20643840 z^4 + 1048576 z^5) Erfi[Sqrt[2] z^(1/4)]))/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 20643840 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 38707200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2419200 </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'> 1134000 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 893025 </cn> </apply> <apply> <ci> Erfi </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> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02