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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=7/4, b>=a > For fixed z and a=7/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 21/4, -(9/2), z] == (1/192) ((1/(1 - Sqrt[z])^(23/2)) (96 - 1104 Sqrt[z] + 5600 z - 16100 z^(3/2) + 27650 z^2 - 26565 z^(5/2) + 11060 z^3 - 2300 z^(7/2) + 200 z^4) + (1/(1 + Sqrt[z])^(23/2)) (96 + 1104 Sqrt[z] + 5600 z + 16100 z^(3/2) + 27650 z^2 + 26565 z^(5/2) + 11060 z^3 + 2300 z^(7/2) + 200 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