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





http://functions.wolfram.com/07.23.03.0188.01









  


  








Input Form





Hypergeometric2F1[-(n/2), (1 - n)/2, -(1/2) - n, z] == (-((2^(n + 1) n!^2)/(2 n + 1)!)) z^((n + 3)/2) D[LegendreP[n + 1, 1/Sqrt[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