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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > General case





http://functions.wolfram.com/07.20.06.0017.01









  


  








Input Form





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