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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=-45/8, b>=a > For fixed z and a=-45/8, b=-19/8





http://functions.wolfram.com/07.23.03.b6c0.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(19/8), -(11/2), z] == (1/(315392 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-315392 + 854784 z - 731360 z^2 + 173679 z^3 + 11913 z^4 + 3344 z^5 + 1672 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - 4 Sqrt[z] (-59136 + 168896 z - 155113 z^2 + 41800 z^3 + 2508 z^4 + 627 z^5 + 418 z^6) Sin[(3 ArcSin[Sqrt[z]])/4])










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