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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Specific values > Specialized values > For fixed a,z





http://functions.wolfram.com/07.20.03.0015.01









  


  








Input Form





Hypergeometric1F1[a, 2 a - n, z] == Gamma[a - n - 1/2] (z/4)^(n - a + 1/2) E^(z/2) Sum[(((-1)^k Pochhammer[-n, k] Pochhammer[2 a - 2 n - 1, k])/ (Pochhammer[2 a - n, k] k!)) (a + k - n - 1/2) BesselI[a + k - n - 1/2, z/2], {k, 0, 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)





2001-10-29