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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 4 and fixed z > For fixed z and a=-11/4, b>=a > For fixed z and a=-11/4, b=15/4





http://functions.wolfram.com/07.23.03.adi1.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 15/4, -(11/2), z] == (1/384) ((1/(1 - Sqrt[z])^(13/2)) (192 - 1248 Sqrt[z] + 3792 z - 7488 z^(3/2) + 11272 z^2 - 14066 z^(5/2) + 15089 z^3 - 14066 z^(7/2) + 11272 z^4 - 7488 z^(9/2) + 3792 z^5 - 1248 z^(11/2) + 192 z^6) + (1/(1 + Sqrt[z])^(13/2)) (192 + 1248 Sqrt[z] + 3792 z + 7488 z^(3/2) + 11272 z^2 + 14066 z^(5/2) + 15089 z^3 + 14066 z^(7/2) + 11272 z^4 + 7488 z^(9/2) + 3792 z^5 + 1248 z^(11/2) + 192 z^6))








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