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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=9/4, b>=a > For fixed z and a=9/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[9/4, 19/4, -(7/2), -z] == (1/(560 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^10) (2 (140 + 1810 z + 11952 z^2 + 60775 z^3 - 1952368 z^4 + 1213668 z^5 - 8740 z^6 - 437 z^7)) + (1/(1 + z)^(21/2)) (280 + 3760 z + 25679 z^2 + 133067 z^3 + 5780786 z^4 - 6540698 z^5 + 723235 z^6 + 36271 z^7 + 1748 z^8)))








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