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convert/MeijerG - convert an expression to MeijerG form
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Calling Sequence
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convert(  , MeijerG, opt_1, opt_2,  )
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Description
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The convert( expr, 'MeijerG') command converts the functions found in  into their equivalent MeijerG representation, whenever possible. Most special and all elementary functions can be so converted.
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Examples
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![BesselK(n, z) = (1/2)*MeijerG([[], []], [[(1/2)*n, -(1/2)*n], []], (1/4)*z^2)](/support/helpjp/helpview.aspx?si=7050/file03614/math78.png)
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![hypergeom([a, b], [c], z)](/support/helpjp/helpview.aspx?si=7050/file03614/math82.png)
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![hypergeom([a, b], [c], z) = convert(hypergeom([a, b], [c], z), MeijerG)](/support/helpjp/helpview.aspx?si=7050/file03614/math86.png)
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![hypergeom([a, b], [c], z) = GAMMA(c)*MeijerG([[1-a, 1-b], []], [[0], [1-c]], -z)/(GAMMA(a)*GAMMA(b))](/support/helpjp/helpview.aspx?si=7050/file03614/math89.png)
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Elementary functions are not converted by default (see convert[to_special_function])
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To convert them use any of the optional arguments: include=elementary, or include=all
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![sin(z) = Pi^(1/2)*MeijerG([[], []], [[1/2], [0]], (1/4)*z^2)](/support/helpjp/helpview.aspx?si=7050/file03614/math117.png)
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References
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Prudnikov, A.P.; Brychkov, Yu; and Marichev, O. Integrals and Series. Gordon and Breach Science, 1990. Vol. 3: More Special Functions.
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Roach, K. "Meijer G Function Representations." In Proceedings of ISSAC '97, pp. 205-211. Edited by Wolfgang Kuchlin. New York: ACM Press, 1997.
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