DLMF:10.23.E12 (Q3466): Difference between revisions

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Property / constraint
 

| z | < | t | 𝑧 𝑡 {\displaystyle{\displaystyle|z|<|t|}}

|z|<|t|
Property / constraint: | z | < | t | 𝑧 𝑡 {\displaystyle{\displaystyle|z|<|t|}} / rank
 
Normal rank

Revision as of 16:37, 30 December 2019

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DLMF:10.23.E12
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    Statements

    1 t - z = J 0 ( z ) O 0 ( t ) + 2 k = 1 J k ( z ) O k ( t ) , 1 𝑡 𝑧 Bessel-J 0 𝑧 Neumann-polynomial 0 𝑡 2 superscript subscript 𝑘 1 Bessel-J 𝑘 𝑧 Neumann-polynomial 𝑘 𝑡 {\displaystyle{\displaystyle\frac{1}{t-z}=J_{0}\left(z\right)O_{0}\left(t% \right)+2\sum_{k=1}^{\infty}J_{k}\left(z\right)O_{k}\left(t\right),}}
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    | z | < | t | 𝑧 𝑡 {\displaystyle{\displaystyle|z|<|t|}}
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