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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=-26/5, b>=a > For fixed z and a=-26/5, b=5





http://functions.wolfram.com/07.23.03.apb3.01









  


  








Input Form





Hypergeometric2F1[-(26/5), 5, -(21/5), z] == (1/18750) (13 ((5 (-40188 + 112424 z - 106559 z^2 + 33948 z^3))/(-1 + z)^4 - 1052388 (-(5/26) - (5 z)/21 - (5 z^2)/16 - (5 z^3)/11 - (5 z^4)/6 - 5 z^5 - z^(26/5) (Log[1 - z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(2/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(4/5) z^(1/5)]))))








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