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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(57/8))) ((135168 + 902400 z + 2518880 z^2 + 3722537 z^3 + 2940379 z^4 + 878787 z^5 - 488215 z^6 - 351944 z^7 - 68672 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (33792 + 215040 z + 565292 z^2 + 770185 z^3 + 532571 z^4 + 97643 z^5 + 82621 z^6 + 17168 z^7) 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