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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=13/4, b>=a > For fixed z and a=13/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 19/4, -(11/2), -z] == (1/(6336 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^13) (3168 + 49680 z + 380758 z^2 + 1949267 z^3 + 7915752 z^4 + 31245357 z^5 - 969771938 z^6 + 858671373 z^7 - 124387100 z^8 + 121923 z^9) + (1/(1 + z)^(27/2)) (2 (1584 + 25632 z + 202601 z^2 + 1066817 z^3 + 4422886 z^4 + 17490759 z^5 + 709775062 z^6 - 1002136417 z^7 + 270675470 z^8 - 9388071 z^9 - 121923 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