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





http://functions.wolfram.com/07.23.03.0679.01









  


  








Input Form





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