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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.c08f.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(3/4), z] == (510 (1 + Sqrt[1 - z]) - 255 (18 + 17 Sqrt[1 - z]) z - 22 (1169 + 106 Sqrt[1 - z]) z^2 + 11 (1082 + 87 Sqrt[1 - z]) z^3 - 88 (49 + 2 Sqrt[1 - z]) z^4 + 704 z^5)/ (510 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(11/2))








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