DLMF:18.12.E11 (Q5653): Difference between revisions

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imported>Admin
 
imported>Admin
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 17:00, 30 December 2019

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DLMF:18.12.E11
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    Statements

    1 1 - 2 x z + z 2 = n = 0 P n ( x ) z n , 1 1 2 𝑥 𝑧 superscript 𝑧 2 superscript subscript 𝑛 0 Legendre-spherical-polynomial 𝑛 𝑥 superscript 𝑧 𝑛 {\displaystyle{\displaystyle\frac{1}{\sqrt{1-2xz+z^{2}}}=\sum_{n=0}^{\infty}P_% {n}\left(x\right)z^{n},}}
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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