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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=5





http://functions.wolfram.com/07.23.03.4903.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 5, -(2/3), -z] == (1/708588) (-3 (-236196 + 10038330 z + 284531380 z^2 + 1368814755 z^3 + 2207445240 z^4 + 1135033900 z^5) - 52360 z^(5/3) (2618 + 26180 z + 82110 z^2 + 101660 z^3 + 43355 z^4) Log[1 + z^(1/3)] - 52360 (-1)^(2/3) z^(5/3) (2618 + 26180 z + 82110 z^2 + 101660 z^3 + 43355 z^4) Log[1 - (-1)^(1/3) z^(1/3)] + 52360 (-1)^(1/3) z^(5/3) (2618 + 26180 z + 82110 z^2 + 101660 z^3 + 43355 z^4) Log[1 + (-1)^(2/3) z^(1/3)])










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