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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=35/8, b>=a > For fixed z and a=35/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[35/8, 39/8, -(7/2), -z] == (1/(256 (1 + z)^(99/8))) ((256 + 4656 z + 45897 z^2 + 377630 z^3 + 5092263 z^4 - 25241964 z^5 + 20324519 z^6 - 3424002 z^7 + 60489 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (48 + 866 z + 8481 z^2 + 69597 z^3 - 3796606 z^4 + 6850644 z^5 - 2573331 z^6 + 169261 z^7) Sin[(3 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