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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=23/4





http://functions.wolfram.com/07.23.03.a7u8.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(3/2), z] == (1/24) ((1/(1 - Sqrt[z])^(3/2)) (12 - 18 Sqrt[z] + 269 z - 396 z^(3/2) + 8580 z^2 + 36904 z^(5/2) - 235536 z^3 - 114432 z^(7/2) + 1170688 z^4 - 261120 z^(9/2) - 1997568 z^5 + 1027072 z^(11/2) + 1096704 z^6 - 731136 z^(13/2)) + (1/(1 + Sqrt[z])^(3/2)) (12 + 18 Sqrt[z] + 269 z + 396 z^(3/2) + 8580 z^2 - 36904 z^(5/2) - 235536 z^3 + 114432 z^(7/2) + 1170688 z^4 + 261120 z^(9/2) - 1997568 z^5 - 1027072 z^(11/2) + 1096704 z^6 + 731136 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