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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=27/8





http://functions.wolfram.com/07.23.03.bj9h.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 27/8, -(3/2), z] == (1/6688) ((1/(1 + Sqrt[z])^(7/4)) (3344 + 5852 Sqrt[z] + 25707 z + 40964 z^(3/2) + 234080 z^2 + 639744 z^(5/2) - 284928 z^3 - 1655808 z^(7/2) - 946176 z^4) + (1/(1 - Sqrt[z])^(7/4)) (3344 - 5852 Sqrt[z] + 25707 z - 40964 z^(3/2) + 234080 z^2 - 639744 z^(5/2) - 284928 z^3 + 1655808 z^(7/2) - 946176 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