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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=-47/8, b>=a > For fixed z and a=-47/8, b=37/8





http://functions.wolfram.com/07.23.03.b5m9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 37/8, 3/2, z] == (1/(16419249 Sqrt[z])) (2 ((1 + Sqrt[z])^(11/4) (167555 + 3644036 Sqrt[z] - 19236624 z - 30325504 z^(3/2) + 208414976 z^2 - 80661504 z^(5/2) - 551305216 z^3 + 586809344 z^(7/2) + 266010624 z^4 - 602669056 z^(9/2) + 219152384 z^5) - (1 - Sqrt[z])^(11/4) (167555 - 3644036 Sqrt[z] - 19236624 z + 30325504 z^(3/2) + 208414976 z^2 + 80661504 z^(5/2) - 551305216 z^3 - 586809344 z^(7/2) + 266010624 z^4 + 602669056 z^(9/2) + 219152384 z^5)))










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