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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=45/8





http://functions.wolfram.com/07.23.03.c6qg.01









  


  








Input Form





Hypergeometric2F1[17/8, 45/8, -(7/2), -z] == (1/(1792 (1 + z)^(89/8))) ((1792 + 26000 z + 193575 z^2 + 1105143 z^3 + 8953230 z^4 - 25780898 z^5 + 5881395 z^6 + 469995 z^7 + 48168 z^8 + 2880 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (448 + 6360 z + 46443 z^2 + 262275 z^3 - 21465730 z^4 + 17464798 z^5 - 113865 z^6 - 11817 z^7 - 720 z^8) 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