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convert/GAMMA_related - convert special functions in an expression into GAMMA related functions
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Calling Sequence
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convert(expr, GAMMA_related)
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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/GAMMA_related converts, when possible, the special functions in an expression into GAMMA_related functions. The GAMMA_related transcendental functions are
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FunctionAdvisor( GAMMA_related );
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The 8 functions in the "GAMMA_related" class are:
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![[Beta, GAMMA, binomial, doublefactorial, factorial, lnGAMMA, multinomial, pochhammer]](/support/helpjp/helpview.aspx?si=7083/file03606/math46.png)
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Examples
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![WhittakerW(-1/2+(1/2)*a, (1/2)*a, z)*z^a*hypergeom([a], [1+a], -z)](/support/helpjp/helpview.aspx?si=7083/file03606/math54.png)
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![WhittakerW(-1/2+(1/2)*a, (1/2)*a, z)*z^a*hypergeom([a], [1+a], -z)](/support/helpjp/helpview.aspx?si=7083/file03606/math57.png)
| (2) |
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![convert(WhittakerW(-1/2+(1/2)*a, (1/2)*a, z)*z^a*hypergeom([a], [1+a], -z), GAMMA_related)](/support/helpjp/helpview.aspx?si=7083/file03606/math61.png)
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| (3) |
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![z^a*KummerU(1, 1+a, z)/exp(z)+z*hypergeom([1, 1, 1, 1], [2, 2, 2], z)](/support/helpjp/helpview.aspx?si=7083/file03606/math68.png)
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![z^a*KummerU(1, 1+a, z)/exp(z)+z*hypergeom([1, 1, 1, 1], [2, 2, 2], z)](/support/helpjp/helpview.aspx?si=7083/file03606/math71.png)
| (4) |
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![convert(z^a*KummerU(1, 1+a, z)/exp(z)+z*hypergeom([1, 1, 1, 1], [2, 2, 2], z), GAMMA_related)](/support/helpjp/helpview.aspx?si=7083/file03606/math75.png)
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![GAMMA(a, z)+z*hypergeom([1, 1, 1, 1], [2, 2, 2], z)](/support/helpjp/helpview.aspx?si=7083/file03606/math78.png)
| (5) |
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| (6) |
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![-(PIECEWISE([1, -a = 0], [sin(Pi*a)/(Pi*a), otherwise]))*a*GAMMA(a, z)/z^a+(PIECEWISE([1, -a = 0], [sin(Pi*a)/(Pi*a), otherwise]))*a*GAMMA(a)/z^a](/support/helpjp/helpview.aspx?si=7083/file03606/math92.png)
| (7) |
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