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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=19/4





http://functions.wolfram.com/07.23.03.a7qb.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(9/2), -z] == (Sqrt[z] (-12899328 z^9 + 1008 (1 + Sqrt[1 + z]) + 169728 z^8 (-287 + 38 Sqrt[1 + z]) - 28 z (97 + 115 Sqrt[1 + z]) + 49920 z^7 (-1367 + 391 Sqrt[1 + z]) + 99 z^4 (997 + 1150 Sqrt[1 + z]) + z^2 (7247 + 8983 Sqrt[1 + z]) - z^3 (22610 + 27567 Sqrt[1 + z]) + 624 z^6 (-66869 + 31866 Sqrt[1 + z]) + 12 z^5 (-763537 + 580684 Sqrt[1 + z])))/(2016 Sqrt[2] (1 + z)^(7/2) 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