DLMF:18.12.E9 (Q5651): Difference between revisions

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Property / constraint
 

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
 
Normal rank

Revision as of 18:00, 30 December 2019

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DLMF:18.12.E9
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    Statements

    - ln ( 1 - 2 x z + z 2 ) = 2 n = 1 T n ( x ) n z n , 1 2 𝑥 𝑧 superscript 𝑧 2 2 superscript subscript 𝑛 1 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 𝑛 superscript 𝑧 𝑛 {\displaystyle{\displaystyle-\ln\left(1-2xz+z^{2}\right)=2\sum_{n=1}^{\infty}% \frac{T_{n}\left(x\right)}{n}z^{n},}}
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    DLMF:18.12.E9
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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