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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=6





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









  


  










Input Form





Hypergeometric2F1[13/4, 6, -(9/4), z] == (1/(7680 (-1 + z)^12)) (4 (1920 - 39680 z + 524416 z^2 - 14985728 z^3 - 42554807 z^4 + 21585319 z^5 + 33294850 z^6 + 2286438 z^7 - 117579 z^8 + 4851 z^9) - 231 Sqrt[1 - z] z^(13/4) (189805 + 502425 z + 239250 z^2 + 9570 z^3 - 495 z^4 + 21 z^5) Beta[z, 3/4, 1/2])










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