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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/07.23.20.0040.02









  


  










Input Form





D[z Hypergeometric2F1[a, b, 3/2, z^2], {z, n}] == 2^(2 Floor[n/2]) Pochhammer[a, Floor[n/2]] Pochhammer[b, Floor[n/2]] z^(1 - n + 2 Floor[n/2]) Hypergeometric2F1[a + Floor[n/2], b + Floor[n/2], 3/2 - n + 2 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