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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=-1/8, b>=a > For fixed z and a=-1/8, b=27/8





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









  


  








Input Form





Hypergeometric2F1[-(1/8), 27/8, -(21/4), z] == (1881152 (1 + Sqrt[1 - z]) - 67184 (241 + 227 Sqrt[1 - z]) z + 1976 (31113 + 27373 Sqrt[1 - z]) z^2 - 19 (7087069 + 5757819 Sqrt[1 - z]) z^3 + 76 (2446363 + 1804023 Sqrt[1 - z]) z^4 - 114 (1432997 + 926731 Sqrt[1 - z]) z^5 + 20394220 (3 + Sqrt[1 - z]) z^6 - 3485 (9875 + 1829 Sqrt[1 - z]) z^7 + 83640 (113 + 10 Sqrt[1 - z]) z^8 - 1115200 z^9)/(1881152 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(17/2))








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