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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, 9/2, z] == (1/(49725 z^(7/2))) (8 ((1 + Sqrt[z])^(5/2) (8 - 20 Sqrt[z] + 60 z - 115 z^(3/2) + 280 z^2 - 504 z^(5/2) + 1680 z^3 - 240 z^(7/2) - 8640 z^4 + 12480 z^(9/2) - 4992 z^5) + (1 - Sqrt[z])^(5/2) (-8 - 20 Sqrt[z] - 60 z - 115 z^(3/2) - 280 z^2 - 504 z^(5/2) - 1680 z^3 - 240 z^(7/2) + 8640 z^4 + 12480 z^(9/2) + 4992 z^5)))








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