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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=-29/8, b>=a > For fixed z and a=-29/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 29/8, 11/2, z] == (1/(66281215 z^(9/2))) (1024 (4 Sqrt[z] (-1392 + 2726 z + 667 z^2 + 870 z^3 + 20487 z^4 - 64506 z^5 + 75276 z^6 - 39984 z^7 + 8160 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((7424 - 20880 z + 8613 z^2 - 1247 z^3 - 18705 z^4 + 182043 z^5 - 390624 z^6 + 376992 z^7 - 176256 z^8 + 32640 z^9) 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