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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/07.23.20.0046.02









  


  








Input Form





D[z^\[Alpha] Hypergeometric2F1[-(n/2), (-n + 1)/2, c, z^m], {z, n}] == (-1)^n Pochhammer[-\[Alpha], n] z^(\[Alpha] - n) HypergeometricPFQ[{-(n/2), (-n + 1)/2, (\[Alpha] + 1)/m, (\[Alpha] + 2)/m, \[Ellipsis], (\[Alpha] + m)/m}, {(\[Alpha] - n + 1)/m, (\[Alpha] - n + 2)/m, \[Ellipsis], (\[Alpha] - n + m)/m, c}, z^m] /; Element[m, Integers] && m > 0 && Element[n, Integers] && n >= 0








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2001-10-29