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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=5/4, b>=a > For fixed z and a=5/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 15/4, -(11/2), -z] == (Sqrt[z] (-15732 z^9 + z^6 (19197268 - 9565646 Sqrt[1 + z]) + 2464 (1 + Sqrt[1 + z]) + 1311 z^8 (-205 + 6 Sqrt[1 + z]) + 1311 z^7 (-2963 + 98 Sqrt[1 + z]) + 112 z (247 + 236 Sqrt[1 + z]) + 14 z^2 (10291 + 9369 Sqrt[1 + z]) + 22 z^5 (93739 + 75414 Sqrt[1 + z]) + 11 z^4 (98191 + 81170 Sqrt[1 + z]) + z^3 (466575 + 404142 Sqrt[1 + z])))/ (4928 Sqrt[2] (1 + z)^(21/2) Sqrt[-1 + Sqrt[1 + z]])








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