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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 5 and fixed z > For fixed z and a=-21/5, b>=a > For fixed z and a=-21/5, b=5





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









  


  










Input Form





Hypergeometric2F1[-(21/5), 5, 6, z] == (1/(2280174 z^5)) (25 (-625 (-1 + (1 - z)^(1/5)) - 125 (1 - z)^(1/5) z - 75 (1 - z)^(1/5) z^2 - 55 (1 - z)^(1/5) z^3 - 44 (1 - z)^(1/5) z^4 + 91170 (1 - z)^(1/5) z^5 - 301015 (1 - z)^(1/5) z^6 + 384865 (1 - z)^(1/5) z^7 - 223665 (1 - z)^(1/5) z^8 + 49569 (1 - z)^(1/5) z^9))










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