DLMF:10.13.E11 (Q3136): Difference between revisions

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w = 𝒞 ν ( z ) 𝒟 μ ( z ) . 𝑤 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜇 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\mu% }(z).}}

w=\BesselC{\nu}@{z}\mathscr{D}_{\mu}(z).
Property / constraint: w = 𝒞 ν ( z ) 𝒟 μ ( z ) . 𝑤 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜇 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\mu% }(z).}} / rank
 
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Revision as of 17:17, 30 December 2019

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DLMF:10.13.E11
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    ( ϑ 4 - 2 ( ν 2 + μ 2 ) ϑ 2 + ( ν 2 - μ 2 ) 2 ) w + 4 z 2 ( ϑ + 1 ) ( ϑ + 2 ) w = 0 , superscript italic-ϑ 4 2 superscript 𝜈 2 superscript 𝜇 2 superscript italic-ϑ 2 superscript superscript 𝜈 2 superscript 𝜇 2 2 𝑤 4 superscript 𝑧 2 italic-ϑ 1 italic-ϑ 2 𝑤 0 {\displaystyle{\displaystyle\left(\vartheta^{4}-2(\nu^{2}+\mu^{2})\vartheta^{2% }+(\nu^{2}-\mu^{2})^{2}\right)w+4z^{2}(\vartheta+1)(\vartheta+2)w=0,}}
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    DLMF:10.13.E11
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    Warning: Falling back to standard tex;
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    w = 𝒞 ν ( z ) 𝒟 μ ( z ) . 𝑤 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜇 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\mu% }(z).}}
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