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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=19/8





http://functions.wolfram.com/07.23.03.c553.01









  


  








Input Form





Hypergeometric2F1[15/8, 19/8, -(9/2), -z] == (1/(21504 (1 + z)^(63/8))) ((21504 + 157696 z + 517660 z^2 + 1062061 z^3 + 1918455 z^4 + 8165927 z^5 - 875007 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (37632 + 301840 z + 1111803 z^2 + 2610377 z^3 + 5107025 z^4 - 4458829 z^5) 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