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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 b, z





http://functions.wolfram.com/07.24.03.0146.01









  


  








Input Form





Hypergeometric2F1Regularized[-n, b, 2 b - 1, z] == (((-1)^n (1 - z)^((n - b)/2) Gamma[1 - b])/(2 Gamma[2 b - 1 + n])) ((z - 1)/z)^(b - 1) (LegendreP[b - 1, b + n, 3, 1 - 2/z] + LegendreP[b - 2, b + n, 3, 1 - 2/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