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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Specific values > Specialized values > For fixed z and integer parameters





http://functions.wolfram.com/07.24.03.0174.01









  


  








Input Form





Hypergeometric2F1Regularized[-n, -n, -(1/2) - 2 n, z] == (((-1)^(n - 1) 4^(-(1/2) - n) z^(1/2 + n) (1 + 2 n)!)/ (Sqrt[Pi] Sqrt[z - 1])) LegendreP[2 n + 1, 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