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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=45/8





http://functions.wolfram.com/07.23.03.b79t.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 45/8, -(5/2), z] == (1/(64 (-1 + z)^2)) (4 (16 + 166 z + 1630 z^2 + 33691 z^3 - 643850 z^4 + 2741440 z^5 - 4850560 z^6 + 3872000 z^7 - 1154560 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-48 - 491 z - 4813 z^2 - 785664 z^3 + 6420600 z^4 - 19019520 z^5 + 26568960 z^6 - 17797120 z^7 + 4618240 z^8) 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