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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/07.23.20.0022.02









  


  








Input Form





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