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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=9/8, b>=a > For fixed z and a=9/8, b=45/8





http://functions.wolfram.com/07.23.03.c2sr.01









  


  








Input Form





Hypergeometric2F1[9/8, 45/8, -(3/2), -z] == (1/(17168 (1 + z)^(65/8))) ((-(-17168 - 211381 z - 2098788 z^2 + 3608738 z^3 + 1068796 z^4 + 362283 z^5 + 82960 z^6 + 8960 z^7)) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (1073 + 12876 z - 1127484 z^2 + 60586 z^3 + 21123 z^4 + 5010 z^5 + 560 z^6) 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