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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 8 and fixed z and a>0 > For fixed z and a=41/8, b>=a > For fixed z and a=41/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[41/8, 45/8, -(11/4), z] == (1/(472120 2^(3/4) (-1 + z)^13)) ((1 + Sqrt[1 - z])^(3/4) (-236060 + 5499125 z - 78253890 z^2 - 59565920829 z^3 - 226868559816 z^4 - 208829938869 z^5 - 51999027450 z^6 - 2536816611 z^7 + (1/Sqrt[1 - z]) (-236060 + 5617155 z - 80973945 z^2 + 62228087479 z^3 + 269119455939 z^4 + 295657895673 z^5 + 97800377157 z^6 + 8351176077 z^7 + 82939725 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