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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9wp.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, -(9/2), z] == (1/14336) ((1/(1 - Sqrt[z])^(53/4)) (7168 - 94976 Sqrt[z] + 553728 z - 1810480 z^(3/2) + 3426980 z^2 - 3268563 z^(5/2) + 685396 z^3 - 51728 z^(7/2)) + (1/(1 + Sqrt[z])^(53/4)) (7168 + 94976 Sqrt[z] + 553728 z + 1810480 z^(3/2) + 3426980 z^2 + 3268563 z^(5/2) + 685396 z^3 + 51728 z^(7/2)))








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