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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi98.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, 21/4, z] == (16 2^(1/4) (-4 (4446 + 9405 z + 25878 z^2 + 110523 z^3 - 2787932 z^4 + 6870752 z^5 - 6103552 z^6 + 1863680 z^7) + (1/Sqrt[1 - z]) (17784 + 28728 z + 82479 z^2 + 384522 z^3 + 26553527 z^4 - 113353632 z^5 + 174625024 z^6 - 118157312 z^7 + 29818880 z^8)))/(607076575 (1 + Sqrt[1 - z])^(1/4) z^4)








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