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variants of this functions
Hypergeometric1F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.20.20.0040.01









  


  










Input Form





D[Hypergeometric1F1[a, b, z], {z, n}] == ((-1)^(n - 1) Pochhammer[b - 1, n] (Sum[((n - k - 1)! (-z)^k Pochhammer[a, k] Hypergeometric1F1[a + k, -1 + b, z])/(k! (n - 2 k - 1)! Pochhammer[2 - n - b, k] Pochhammer[b, k]), {k, 0, n - 1}] - Sum[((n - k)! (-z)^k Pochhammer[a, k] Hypergeometric1F1[a + k, b, z])/ (k! (n - 2 k)! Pochhammer[2 - n - b, k] Pochhammer[b - 1, k]), {k, 0, n}]))/z^n /; 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)





2007-05-02





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