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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9890.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, -(7/2), z] == (1/224) ((1/(1 - Sqrt[z])^(3/2)) (112 - 168 Sqrt[z] + 732 z - 1028 z^(3/2) + 3375 z^2 - 4626 z^(5/2) + 16104 z^3 - 22176 z^(7/2) + 144144 z^4 + 230880 z^(9/2) - 1355328 z^5 + 479232 z^(11/2) + 1527552 z^6 - 1018368 z^(13/2)) + (1/(1 + Sqrt[z])^(3/2)) (112 + 168 Sqrt[z] + 732 z + 1028 z^(3/2) + 3375 z^2 + 4626 z^(5/2) + 16104 z^3 + 22176 z^(7/2) + 144144 z^4 - 230880 z^(9/2) - 1355328 z^5 - 479232 z^(11/2) + 1527552 z^6 + 1018368 z^(13/2)))








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