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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=11/8, b>=a > For fixed z and a=11/8, b=39/8





http://functions.wolfram.com/07.23.03.c3pt.01









  


  










Input Form





Hypergeometric2F1[11/8, 39/8, -(17/4), z] == (1/(387872 2^(1/4) (-1 + z)^10)) ((1 + Sqrt[1 - z])^(1/4) (193936 - 2233116 z + 12307093 z^2 - 45136465 z^3 + 142521570 z^4 + 800855378 z^5 + 26105017 z^6 - 3473301 z^7 + 257520 z^8 + (1/Sqrt[1 - z]) (193936 - 2330084 z + 13399409 z^2 - 51022993 z^3 + 163683410 z^4 - 2936082182 z^5 - 1013747867 z^6 + 113887147 z^7 - 14601384 z^8 + 1030080 z^9)))










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