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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=3





http://functions.wolfram.com/07.23.03.aqv4.01









  


  








Input Form





Hypergeometric2F1[-(21/5), 3, 6, z] == (1/(2280174 z^5)) (625 (-150 (-1 + (1 - z)^(1/5)) + 30 (-23 + 22 (1 - z)^(1/5)) z + (943 - 823 (1 - z)^(1/5)) z^2 - 119 (1 - z)^(1/5) z^3 - 63 (1 - z)^(1/5) z^4 + 3605 (1 - z)^(1/5) z^5 - 6965 (1 - z)^(1/5) z^6 + 5883 (1 - z)^(1/5) z^7 - 2431 (1 - z)^(1/5) z^8 + 403 (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