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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=6





http://functions.wolfram.com/07.23.03.4951.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 6, 1/3, z] == (1/15943230) (3 (5314410 - 404991340 z + 3933055315 z^2 - 12728035320 z^3 + 16389889516 z^4 - 7264216960 z^5) - 52360 z^(2/3) (-2618 + 52360 z - 301070 z^2 + 711620 z^3 - 737035 z^4 + 277472 z^5) Log[1 - z^(1/3)] - 52360 (-1)^(2/3) z^(2/3) (-2618 + 52360 z - 301070 z^2 + 711620 z^3 - 737035 z^4 + 277472 z^5) Log[1 + (-1)^(1/3) z^(1/3)] + 52360 (-1)^(1/3) z^(2/3) (-2618 + 52360 z - 301070 z^2 + 711620 z^3 - 737035 z^4 + 277472 z^5) 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