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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=-3/4, b>=a > For fixed z and a=-3/4, b=23/4





http://functions.wolfram.com/07.23.03.ah2z.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 23/4, -(3/2), z] == (1/1672) ((1/(1 - Sqrt[z])^(13/2)) (836 - 5434 Sqrt[z] + 17347 z - 38038 z^(3/2) + 58520 z^2 - 59904 z^(5/2) + 38256 z^3 - 13728 z^(7/2) + 2112 z^4) + (1/(1 + Sqrt[z])^(13/2)) (836 + 5434 Sqrt[z] + 17347 z + 38038 z^(3/2) + 58520 z^2 + 59904 z^(5/2) + 38256 z^3 + 13728 z^(7/2) + 2112 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