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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=-7/8, b>=a > For fixed z and a=-7/8, b=29/8





http://functions.wolfram.com/07.23.03.btm0.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 29/8, -(11/2), -z] == (1/(405504 (1 + z)^(65/8))) ((405504 + 3048192 z + 9735200 z^2 + 16814551 z^3 + 15991404 z^4 + 6053866 z^5 - 4296292 z^6 - 4696521 z^7 - 1836976 z^8 - 274688 z^9) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (25344 + 182592 z + 553469 z^2 + 891852 z^3 + 759096 z^4 + 195286 z^5 + 260739 z^6 + 109446 z^7 + 17168 z^8) Sin[ArcTan[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