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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=n, c=1/2+p





http://functions.wolfram.com/07.23.03.0675.01









  


  










Input Form





Hypergeometric2F1[1, n, 5/2, z] == (3/((2 n - 3) z)) ((-((2 (1 - z)^(1 - n) Pochhammer[1/2, n])/(n - 1)!)) (1 - (Sqrt[1 - z] ArcSin[Sqrt[z]])/((2 n - 1) Sqrt[z])) - (((1 + 2 (n - 1) z) Pochhammer[-(1/2), n])/((n - 1)! (1 - z))) Sum[(n - 2 - k)!/((1 - z)^k Pochhammer[1/2, n - k - 1]), {k, 0, n - 2}] - (1/2) Sum[Pochhammer[1/2 - n, k]/ ((1 - z)^k Pochhammer[1 - n, 1 + 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