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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=39/8, b>=a > For fixed z and a=39/8, b=43/8





http://functions.wolfram.com/07.23.03.cda9.01









  


  








Input Form





Hypergeometric2F1[39/8, 43/8, -(7/2), -z] == (1/(8960 (1 + z)^(103/8))) ((8960 + 168720 z + 1784363 z^2 + 16846522 z^3 + 295152165 z^4 - 1293276292 z^5 + 1002476965 z^6 - 165589158 z^7 + 2889643 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (3920 + 76510 z + 833091 z^2 + 7939855 z^3 - 202095674 z^4 + 343118244 z^5 - 125516825 z^6 + 8130479 z^7) Sin[(7 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