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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=19/8





http://functions.wolfram.com/07.23.03.c0yy.01









  


  








Input Form





Hypergeometric2F1[7/8, 19/8, -(9/2), -z] == (1/(9216 (1 + z)^(55/8))) (2 (4608 + 26752 z + 64350 z^2 + 84337 z^3 + 81290 z^4 + 242649 z^5 + 14706 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 + 104720 z + 296527 z^2 + 494703 z^3 + 612865 z^4 - 51471 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