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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=7/8, b>=a > For fixed z and a=7/8, b=11/8





http://functions.wolfram.com/07.23.03.c0u2.01









  


  








Input Form





Hypergeometric2F1[7/8, 11/8, -(11/2), -z] == (1/(12288 (1 + z)^(55/8))) ((12288 + 68352 z + 151840 z^2 + 164127 z^3 + 76855 z^4 + 7649 z^5 + 125001 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (10752 + 67200 z + 178598 z^2 + 263617 z^3 + 241440 z^4 + 162901 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