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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=-17/8, b>=a > For fixed z and a=-17/8, b=27/8





http://functions.wolfram.com/07.23.03.bo1r.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 27/8, -(21/4), z] == (1217216 (1 + Sqrt[1 - z]) - 43472 (149 + 135 Sqrt[1 - z]) z + 21736 (599 + 471 Sqrt[1 - z]) z^2 - 209 (52837 + 31491 Sqrt[1 - z]) z^3 - 5225 (-371 + 75 Sqrt[1 - z]) z^4 + 1045 (553 + 3 Sqrt[1 - z]) z^5 + 1045 (1981 + 1795 Sqrt[1 - z]) z^6 - 100 (43103 + 16044 Sqrt[1 - z]) z^7 + 44800 (58 + 9 Sqrt[1 - z]) z^8 - 537600 z^9)/ (1217216 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(13/2))








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