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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=-m, b=-n, c=1/2+-p





http://functions.wolfram.com/07.23.03.0186.01









  


  








Input Form





Hypergeometric2F1[-n, -n, 1/2 - 2 n, z] == (((-1)^n (2 n)!^2 (4 z)^n)/(4 n)!) LegendreP[2 n, Sqrt[(z - 1)/z]] /; Element[n, Integers] && n >= 0








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