DLMF:10.13.E2 (Q3127): Difference between revisions

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Property / constraint
 

w = z 1 2 𝒞 ν ( λ z 1 2 ) 𝑤 superscript 𝑧 1 2 cylinder-function 𝜈 𝜆 superscript 𝑧 1 2 {\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{\nu}\left(\lambda z% ^{\frac{1}{2}}\right)}}

w=z^{\frac{1}{2}}\BesselC{\nu}@{\lambda z^{\frac{1}{2}}}
Property / constraint: w = z 1 2 𝒞 ν ( λ z 1 2 ) 𝑤 superscript 𝑧 1 2 cylinder-function 𝜈 𝜆 superscript 𝑧 1 2 {\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{\nu}\left(\lambda z% ^{\frac{1}{2}}\right)}} / rank
 
Normal rank

Revision as of 16:16, 30 December 2019

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DLMF:10.13.E2
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    Statements

    w ′′ + ( λ 2 4 z - ν 2 - 1 4 z 2 ) w = 0 , superscript 𝑤 ′′ superscript 𝜆 2 4 𝑧 superscript 𝜈 2 1 4 superscript 𝑧 2 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\left(\frac{\lambda^{2}}{4z}-% \frac{\nu^{2}-1}{4z^{2}}\right)w=0,}}
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    Warning: Falling back to standard tex;
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    w = z 1 2 𝒞 ν ( λ z 1 2 ) 𝑤 superscript 𝑧 1 2 cylinder-function 𝜈 𝜆 superscript 𝑧 1 2 {\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{\nu}\left(\lambda z% ^{\frac{1}{2}}\right)}}
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