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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Specialized values > For fixed z and with symbolical integers in parameters > For fixed z and a=1, b=m/n, c=m/n+1





http://functions.wolfram.com/07.23.03.0179.01









  


  








Input Form





Hypergeometric2F1[1, m/n, m/n + 1, z] == ((-(m/n)) Sum[Exp[-((Pi (2 k + 1) I m)/n)] Log[1 - (-z)^(1/n) Exp[(Pi I (2 k + 1))/n]], {k, 0, n - 1}])/ (-z)^(m/n) /; Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0 && n > m








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)





2001-10-29