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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=-35/8





http://functions.wolfram.com/07.23.03.b66q.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(35/8), -(11/2), z] == (1/(45056 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-45056 + 214272 z - 402720 z^2 + 370657 z^3 - 163116 z^4 + 24453 z^5 + 1254 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - 2 Sqrt[z] (-16896 + 82816 z - 161198 z^2 + 154795 z^3 - 72057 z^4 + 11913 z^5 + 627 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