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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=45/8





http://functions.wolfram.com/07.23.03.bty2.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(57/8))) ((-(-68672 - 351944 z - 488215 z^2 + 878787 z^3 + 2940379 z^4 + 3722537 z^5 + 2518880 z^6 + 902400 z^7 + 135168 z^8)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (17168 + 82621 z + 97643 z^2 + 532571 z^3 + 770185 z^4 + 565292 z^5 + 215040 z^6 + 33792 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