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convert/0F1 - convert to special functions admitting a 0F1 hypergeometric representation
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Calling Sequence
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convert(expr, `0F1`)
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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/0F1 converts, when possible, hypergeometric, MeijerG, and special functions admitting a 1F1 hypergeometric representation into special functions admitting a 0F1 hypergeometric representation; that is, into one of
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FunctionAdvisor( `0F1` );
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The 26 functions in the "0F1" class are particular cases of the hypergeometric function and are given by:
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![[AiryAi, AiryBi, BesselI, BesselJ, BesselK, BesselY, HankelH1, HankelH2, KelvinBei, KelvinBer, KelvinHei, KelvinHer, KelvinKei, KelvinKer, cos, cosh, cot, coth, csc, csch, sec, sech, sin, sinh, tan, tanh]](/support/helpjp/helpview.aspx?si=7075/file03626/math46.png)
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Examples
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![2^(-a-1)*Pi*z^a*MeijerG([[], []], [[0], [-a]], -(1/4)*z^2)/sin(Pi*(1+a))+2^(-1+a)*Pi*z^(-a)*MeijerG([[], []], [[0], [a]], -(1/4)*z^2)/sin(Pi*a)](/support/helpjp/helpview.aspx?si=7075/file03626/math74.png)
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![2^(-a-1)*Pi*z^a*MeijerG([[], []], [[0], [-a]], -(1/4)*z^2)/sin(Pi*(1+a))+2^(-1+a)*Pi*z^(-a)*MeijerG([[], []], [[0], [a]], -(1/4)*z^2)/sin(Pi*a)](/support/helpjp/helpview.aspx?si=7075/file03626/math77.png)
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![convert(2^(-a-1)*Pi*z^a*MeijerG([[], []], [[0], [-a]], -(1/4)*z^2)/sin(Pi*(1+a))+2^(-1+a)*Pi*z^(-a)*MeijerG([[], []], [[0], [a]], -(1/4)*z^2)/sin(Pi*a), `0F1`)](/support/helpjp/helpview.aspx?si=7075/file03626/math81.png)
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