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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=25/8, b>=a > For fixed z and a=25/8, b=37/8





http://functions.wolfram.com/07.23.03.c9qd.01









  


  








Input Form





Hypergeometric2F1[25/8, 37/8, -(7/2), -z] == (1/(1792 (1 + z)^(89/8))) ((1792 + 27280 z + 216775 z^2 + 1358643 z^3 + 12719850 z^4 - 48517898 z^5 + 24008075 z^6 - 1382505 z^7 - 23532 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (448 + 6680 z + 52143 z^2 + 323895 z^3 - 34249930 z^4 + 42718598 z^5 - 8185045 z^6 + 5883 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