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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=19/4





http://functions.wolfram.com/07.23.03.a9s5.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, -(11/2), -z] == (1/(14784 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^5) (7392 + 5712 z - 5474 z^2 + 6255 z^3 - 8776 z^4 + 17919 z^5 + 456840 z^6 + 905424 z^7 + 661440 z^8 + 169728 z^9) - (1/(1 + z)^(11/2)) (2 (-3696 - 4704 z + 1771 z^2 - 1633 z^3 + 2448 z^4 - 6193 z^5 + 321315 z^6 + 1099872 z^7 + 1390896 z^8 + 788736 z^9 + 169728 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