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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 21/8, 11/2, z] == (1/(331406075 z^(9/2))) (1024 (Sqrt[z] (38976 - 166808 z + 200361 z^2 + 46893 z^3 + 433955 z^4 - 1003977 z^5 + 914616 z^6 - 397392 z^7 + 68544 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-51968 + 266800 z - 455387 z^2 + 159152 z^3 - 88102 z^4 + 843776 z^5 - 1415895 z^6 + 1104744 z^7 - 431664 z^8 + 68544 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