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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=-3/4, b>=a > For fixed z and a=-3/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 19/4, -(11/2), -z] == (1/(14784 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^9) (7392 + 60816 z + 214942 z^2 + 416419 z^3 + 450260 z^4 + 184338 z^5 + 281770 z^6 + 167219 z^7 + 50540 z^8 + 6384 z^9) + (1/(1 + z)^(19/2)) (2 (3696 + 32256 z + 122213 z^2 + 258375 z^3 + 317557 z^4 + 184338 z^5 - 386669 z^6 - 404225 z^7 - 204725 z^8 - 55328 z^9 - 6384 z^10))))








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