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variants of this functions
Hypergeometric1F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1Regularized[a,b,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > Special cases





http://functions.wolfram.com/07.21.06.0022.01









  


  










Input Form





Hypergeometric1F1Regularized[a, -n, z] == Subscript[F, Infinity][z, a, n] /; (Subscript[F, m][z, a, n] == (Pochhammer[a, n + 1]/(n + 1)!) z^(1 + n) Sum[(Pochhammer[1 + a + n, k] z^k)/(Pochhammer[2 + n, k] k!), {k, 0, m}] == z^(1 + n) Pochhammer[a, n + 1] Hypergeometric1F1Regularized[1 + a + n, 2 + n, z] - z^(2 + m + n) Pochhammer[a, m + n + 2] HypergeometricPFQRegularized[ {1, 2 + a + m + n}, {2 + m, 3 + m + n}, z] && Element[m, Integers] && m >= 0) && 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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