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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/07.24.03.0147.01









  


  








Input Form





Hypergeometric2F1Regularized[-n, b, 2 b, z] == ((2^(1 - 2 b - 2 n) n! Sqrt[Pi] z^n)/(Gamma[b] Gamma[1/2 + b + n])) GegenbauerC[n, 1/2 - b - n, 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