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





http://functions.wolfram.com/07.23.03.0681.01









  


  








Input Form





Hypergeometric2F1[1/2, n, 1 + n, z] == n!/(z^n Pochhammer[1/2, n]) - ((2 n Sqrt[1 - z])/z) Sum[(Pochhammer[1 - n, k] (1 - 1/z)^k)/ Pochhammer[3/2, k], {k, 0, n - 1}] /; 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)





2007-05-02