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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=37/8





http://functions.wolfram.com/07.23.03.bh59.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 37/8, 11/2, z] == (1/(66281215 z^(9/2))) (1024 (Sqrt[z] (1344 + 488 z + 695 z^2 + 1890 z^3 + 79383 z^4 - 312936 z^5 + 443088 z^6 - 277440 z^7 + 65280 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-1792 + 880 z - 311 z^2 - 1675 z^3 - 17325 z^4 + 195255 z^5 - 503880 z^6 + 573648 z^7 - 310080 z^8 + 65280 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