DLMF:10.33.E1 (Q3540): Difference between revisions

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Property / constraint
 

z 0 𝑧 0 {\displaystyle{\displaystyle z\neq 0}}

z\neq 0
Property / constraint: z 0 𝑧 0 {\displaystyle{\displaystyle z\neq 0}} / rank
 
Normal rank

Revision as of 16:39, 30 December 2019

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DLMF:10.33.E1
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    Statements

    I ν ( z ) I ν - 1 ( z ) = 1 2 ν z - 1 + 1 2 ( ν + 1 ) z - 1 + 1 2 ( ν + 2 ) z - 1 + , modified-Bessel-first-kind 𝜈 𝑧 modified-Bessel-first-kind 𝜈 1 𝑧 continued-fraction 1 limit-from 2 𝜈 superscript 𝑧 1 continued-fraction 1 limit-from 2 𝜈 1 superscript 𝑧 1 continued-fraction 1 limit-from 2 𝜈 2 superscript 𝑧 1 {\displaystyle{\displaystyle\frac{I_{\nu}\left(z\right)}{I_{\nu-1}\left(z% \right)}=\cfrac{1}{2\nu z^{-1}+}\cfrac{1}{2(\nu+1)z^{-1}+}\cfrac{1}{2(\nu+2)z^% {-1}+}\cdots,}}
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    z 0 𝑧 0 {\displaystyle{\displaystyle z\neq 0}}
    0 references