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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm6r.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(17/4), z] == (1/(387872 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-193936 + 641700 z - 320137 z^2 - 414253 z^3 - 823515 z^4 + 8102413 z^5 - 14948880 z^6 + 12710016 z^7 - 5339136 z^8 + 901120 z^9 + (1/Sqrt[1 - z]) (-193936 + 738668 z - 616745 z^2 - 322276 z^3 - 608902 z^4 - 22221952 z^5 + 70105431 z^6 - 93138720 z^7 + 65227008 z^8 - 23834624 z^9 + 3604480 z^10)))








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