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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.23.20.0020.02









  


  








Input Form





D[(1 - z)^(a + n - 1) Hypergeometric2F1[a, b, c, z], {z, n}] == (((-1)^n Pochhammer[a, n] Pochhammer[c - b, n])/Pochhammer[c, n]) (1 - z)^(a - 1) Hypergeometric2F1[a + n, b, c + n, z] /; 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