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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=17/8, b>=a > For fixed z and a=17/8, b=37/8





http://functions.wolfram.com/07.23.03.c6k3.01









  


  








Input Form





Hypergeometric2F1[17/8, 37/8, -(7/2), -z] == (1/(1792 (1 + z)^(81/8))) ((1792 + 23120 z + 150735 z^2 + 738933 z^3 + 5012670 z^4 - 11467118 z^5 + 1940835 z^6 + 103785 z^7 + 5328 z^8) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (224 + 2820 z + 17979 z^2 + 86970 z^3 - 5386550 z^4 + 3386084 z^5 - 12765 z^6 - 666 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