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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=-5/4





http://functions.wolfram.com/07.23.03.a99j.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(5/4), 11/2, -z] == (16 Sqrt[2] (-560 - 8580 z - 67739 z^2 - 410978 z^3 - 3510885 z^4 + 16995044 z^5 - 8434453 z^6 - 82386 z^7 - 8027 z^8 - 460 z^9 + (1/Sqrt[1 + z]) (560 + 8860 z + 71959 z^2 + 443810 z^3 + 3708421 z^4 - 5912896 z^5 - 7083191 z^6 + 2318906 z^7 + 176755 z^8 + 16744 z^9 + 920 z^10)))/(299973245 z^(9/2) 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