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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=33/8, b>=a > For fixed z and a=33/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[33/8, 47/8, -(3/2), z] == -((1/(57040 (1 - z)^(23/2))) (Sqrt[1 - z] (-57040 + 1550775 z - 45792425 z^2 - 485426828 z^3 - 754108434 z^4 - 242748561 z^5 - 7645125 z^6 + 160950 z^7) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-7130 + 196075 z - 285808844 z^2 - 1286525083 z^3 - 1230961962 z^4 - 261244107 z^5 - 3862800 z^6 + 80475 z^7) Sin[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