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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.8066.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), 1/4}, z] == (1/516096000) ((-4 (-64512000 - 129024000 Sqrt[z] + 30008925 z - 156596100 z^(3/2) + 14444160 z^2 - 63924480 z^(5/2) + 3627520 z^3 - 20715520 z^(7/2) - 2293760 z^4 + 9371648 z^(9/2) + 65536 z^5 - 262144 z^(11/2) + E^(4 Sqrt[z]) (-64512000 + 129024000 Sqrt[z] + 30008925 z + 156596100 z^(3/2) + 14444160 z^2 + 63924480 z^(5/2) + 3627520 z^3 + 20715520 z^(7/2) - 2293760 z^4 - 9371648 z^(9/2) + 65536 z^5 + 262144 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (582968925 + 605682000 z + 251712000 z^2 + 89497600 z^3 - 37683200 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (582968925 + 605682000 z + 251712000 z^2 + 89497600 z^3 - 37683200 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'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 605682000 </cn> <ci> z </ci> </apply> <cn type='integer'> 582968925 </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 /> <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> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 4 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 1048576 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 37683200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 89497600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 251712000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 605682000 </cn> <ci> z </ci> </apply> <cn type='integer'> 582968925 </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> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02