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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=-19/4, b>=a > For fixed z and a=-19/4, b=15/4





http://functions.wolfram.com/07.23.03.a9pj.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, 9/2, -z] == (8 Sqrt[2] (-2 (-380 + 266 z - 893 z^2 + 8740 z^3 + 60379 z^4 + 128172 z^5 + 128904 z^6 + 63648 z^7 + 12480 z^8) + (1/Sqrt[1 + z]) (-760 + 152 z - 1425 z^2 + 16473 z^3 + 195877 z^4 + 600787 z^5 + 885048 z^6 + 703440 z^7 + 292032 z^8 + 49920 z^9)))/ (1057485 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