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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-31/8, b>=a > For fixed z and a=-31/8, b=-19/8





http://functions.wolfram.com/07.23.03.besv.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(19/8), 9/2, -z] == -((256 (Sqrt[z] (-80 - 1369 z - 14069 z^2 - 2975742 z^3 + 6719878 z^4 - 2759525 z^5 + 139919 z^6 + 2444 z^7) Cos[ArcTan[Sqrt[z]]/4] + (320 + 5576 z + 57961 z^2 + 802945 z^3 - 5639238 z^4 + 5307082 z^5 - 883891 z^6 - 611 z^7) Sin[ArcTan[Sqrt[z]]/4]))/ (711499113 z^(7/2) (1 + z)^(1/8)))








Standard Form





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MathML Form







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Rule Form





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





2007-05-02