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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/07.23.20.0033.02









  


  








Input Form





D[z^(2 c - 1) Hypergeometric2F1[1/2 - n + Floor[n/2] + c, b, c, z^2], {z, n}] == (-1)^(n - 2 Floor[n/2]) Pochhammer[1 - 2 c, n] z^(2 c - n - 1) Hypergeometric2F1[c + 1/2, b, c - Floor[n/2], z^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)





2001-10-29