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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Differentiation > Low-order differentiation > With respect to b





http://functions.wolfram.com/07.23.20.0003.01









  


  








Input Form





Derivative[0, 1, 0, 0][Hypergeometric2F1][a, b, c, z] == Sum[(Pochhammer[a, k] Pochhammer[b, k] PolyGamma[b + k] z^k)/ (Pochhammer[c, k] k!), {k, 0, Infinity}] - PolyGamma[b] Hypergeometric2F1[a, b, c, z] /; Abs[z] < 1








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