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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=33/8, b>=a > For fixed z and a=33/8, b=45/8





http://functions.wolfram.com/07.23.03.cc8i.01









  


  








Input Form





Hypergeometric2F1[33/8, 45/8, -(11/4), z] == (1/(300440 2^(3/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(3/4) (150220 - 3041955 z + 36857550 z^2 + 19779875043 z^3 + 56535954240 z^4 + 34766051763 z^5 + 4355023238 z^6 + 2513325 z^7 + (1/Sqrt[1 - z]) (150220 - 3117065 z + 38359750 z^2 - 20823367543 z^3 - 69239788756 z^4 - 53400687847 z^5 - 10278863066 z^6 - 260548025 z^7 + 3351100 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