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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=5/8, b>=a > For fixed z and a=5/8, b=33/8





http://functions.wolfram.com/07.23.03.c08a.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(7/4), z] == (7140 (1 + Sqrt[1 - z]) - 255 (225 + 211 Sqrt[1 - z]) z + 765 (337 + 303 Sqrt[1 - z]) z^2 + 209 (4763 + 337 Sqrt[1 - z]) z^3 - 209 (1637 + 107 Sqrt[1 - z]) z^4 + 1672 (59 + 2 Sqrt[1 - z]) z^5 - 13376 z^6)/(7140 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(13/2))








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