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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b76x.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 39/8, 9/2, -z] == (256 (Sqrt[z] (-772560 + 3917523 z - 25156485 z^2 + 1437817149 z^3 + 11749661301 z^4 + 35577661680 z^5 + 54843596544 z^6 + 46300446720 z^7 + 20478492672 z^8 + 3725590528 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (-515040 + 2536572 z - 16372907 z^2 + 264923700 z^3 + 3207929721 z^4 + 11097183790 z^5 + 18414354816 z^6 + 16319153664 z^7 + 7475691520 z^8 + 1397096448 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (265374689195 z^(7/2) (1 + z)^(3/8))








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