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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Series representations > Generalized power series > Expansions at z==1 > For the function itself > Logarithmic cases





http://functions.wolfram.com/07.23.06.0017.01









  


  








Input Form





Hypergeometric2F1[a, b, a + b + n, z] \[Proportional] (((n - 1)! Gamma[a + b + n])/(Gamma[a + n] Gamma[b + n])) (1 + O[z - 1]) - (Gamma[a + b + n]/(n! Gamma[a] Gamma[b])) (z - 1)^n (Log[1 - z] + EulerGamma - PolyGamma[1 + n] + PolyGamma[a + n] + PolyGamma[b + n]) (1 + O[z - 1]) /; (z -> 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)





2001-10-29