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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 b, z





http://functions.wolfram.com/07.23.03.0153.01









  


  








Input Form





Hypergeometric2F1[-n, b, 2 b - 1, z] == (Gamma[1 - b]/(2 Pochhammer[-1 + 2 b, n])) (-1 + z)^((b + n)/2 - 1) (1/z)^((b + n)/2) z^(1 + (n - b)/2) (LegendreP[-2 + b, b + n, 2, (-2 + z)/z] + LegendreP[-1 + b, b + n, 2, (-2 + z)/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