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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=21/4





http://functions.wolfram.com/07.23.03.aj82.01









  


  








Input Form





Hypergeometric2F1[3/4, 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^11) (1056 + 12240 z + 65826 z^2 + 219899 z^3 + 523185 z^4 + 1017874 z^5 - 4584300 z^6 - 935905 z^7 - 218695 z^8 - 35500 z^9 - 2800 z^10) + (1/(1 + z)^(23/2)) (2 (528 + 6384 z + 35907 z^2 + 125674 z^3 + 312815 z^4 + 627822 z^5 + 5103101 z^6 + 246590 z^7 + 56805 z^8 + 9050 z^9 + 700 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