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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a81m.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(5/2), 9/4}, z] == (1/(377487360 z^(5/4))) ((4 z^(1/4) (12006225 + 16008300 Sqrt[z] - 4040640 z + 16312320 z^(3/2) - 1313280 z^2 + 5191680 z^(5/2) - 245760 z^3 + 1179648 z^(7/2) + 65536 z^4 - 262144 z^(9/2) + E^(4 Sqrt[z]) (12006225 - 16008300 Sqrt[z] - 4040640 z - 16312320 z^(3/2) - 1313280 z^2 - 5191680 z^(5/2) - 245760 z^3 - 1179648 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (12006225 - 64033200 z - 62092800 z^2 - 20275200 z^3 - 4915200 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (12006225 - 64033200 z - 62092800 z^2 - 20275200 z^3 - 4915200 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'> 64033200 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 12006225 </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