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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=15/8, b>=a > For fixed z and a=15/8, b=27/8





http://functions.wolfram.com/07.23.03.c5a6.01









  


  








Input Form





Hypergeometric2F1[15/8, 27/8, -(9/2), -z] == (1/(1024 (1 + z)^(71/8))) (4 (256 + 2240 z + 9119 z^2 + 24409 z^3 + 59444 z^4 + 309848 z^5 - 76755 z^6 - 2193 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1792 + 16912 z + 75383 z^2 + 221980 z^3 + 565642 z^4 - 949684 z^5 + 15351 z^6) 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