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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=-13/3, b>=a > For fixed z and a=-13/3, b=6





http://functions.wolfram.com/07.23.03.5620.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 6, 5/3, -z] == (1/1594323) (2 (784740 + 11446968 z + 45360315 z^2 + 66186120 z^3 + 31951920 z^4 - (1/z^(2/3)) (91 (91 + 7280 z + 69160 z^2 + 217360 z^3 + 271700 z^4 + 117040 z^5) Log[1 + z^(1/3)]) + (1/z^(2/3)) (91 (-1)^(1/3) (91 + 7280 z + 69160 z^2 + 217360 z^3 + 271700 z^4 + 117040 z^5) Log[1 - (-1)^(1/3) z^(1/3)]) - (1/z^(2/3)) (91 (-1)^(2/3) (91 + 7280 z + 69160 z^2 + 217360 z^3 + 271700 z^4 + 117040 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