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convert/Kummer - convert special functions admitting 1F1 or 0F1 hypergeometric representation into Kummer functions
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Calling Sequence
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convert(expr, Kummer)
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Parameters
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expr
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Maple expression, equation, or a set or list of them
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Description
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convert/Kummer converts, when possible, special functions admitting a 1F1 or 0F1 hypergeometric representation into Kummer functions. The Kummer functions are
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FunctionAdvisor( Kummer );
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The 2 functions in the "Kummer" class are:
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![[KummerM, KummerU]](/support/helpjp/helpview.aspx?si=7086/file03611/math49.png)
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Examples
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![`assuming`([convert(HermiteH(a, z)*LaguerreL(2, exp(z)), Kummer)], [0 < Re(z)])](/support/helpjp/helpview.aspx?si=7086/file03611/math78.png)
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![(exp(z)*erf(z^2)+WhittakerW(-1, 1/2, z)*exp((1/2)*z))*MeijerG([[1-a], []], [[0, 1-b], []], 1/z)/BesselK(-3, 1-z)](/support/helpjp/helpview.aspx?si=7086/file03611/math85.png)
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![(exp(z)*erf(z^2)+WhittakerW(-1, 1/2, z)*exp((1/2)*z))*MeijerG([[1-a], []], [[0, 1-b], []], 1/z)/BesselK(3, 1-z)](/support/helpjp/helpview.aspx?si=7086/file03611/math88.png)
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![convert((exp(z)*erf(z^2)+WhittakerW(-1, 1/2, z)*exp((1/2)*z))*MeijerG([[1-a], []], [[0, 1-b], []], 1/z)/BesselK(3, 1-z), Kummer)](/support/helpjp/helpview.aspx?si=7086/file03611/math92.png)
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