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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=-5/8, b>=a > For fixed z and a=-5/8, b=45/8





http://functions.wolfram.com/07.23.03.bv90.01









  


  










Input Form





Hypergeometric2F1[-(5/8), 45/8, -(11/2), z] == (1/(338415616 (1 - z)^(21/2))) (Sqrt[1 - z] (338415616 - 3263018752 z + 13869512160 z^2 - 33635565987 z^3 + 49277511051 z^4 - 38012224614 z^5 - 16569431242 z^6 + 27110844625 z^7 - 19651461441 z^8 + 8362046888 z^9 - 2009370896 z^10 + 211778112 z^11) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (253811712 - 2484278272 z + 10735892916 z^2 - 26537098005 z^3 + 39835396469 z^4 - 32164190058 z^5 - 28118348562 z^6 + 36008632583 z^7 - 23594549655 z^8 + 9340260072 z^9 - 2115259952 z^10 + 211778112 z^11) 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