DLMF:18.12.E5 (Q5647): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
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

No description defined
Language Label Description Also known as
English
DLMF:18.12.E5
No description defined

    Statements

    1 - x z ( 1 - 2 x z + z 2 ) λ + 1 = n = 0 n + 2 λ 2 λ C n ( λ ) ( x ) z n , 1 𝑥 𝑧 superscript 1 2 𝑥 𝑧 superscript 𝑧 2 𝜆 1 superscript subscript 𝑛 0 𝑛 2 𝜆 2 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 superscript 𝑧 𝑛 {\displaystyle{\displaystyle\frac{1-xz}{(1-2xz+z^{2})^{\lambda+1}}=\sum_{n=0}^% {\infty}\frac{n+2\lambda}{2\lambda}C^{(\lambda)}_{n}\left(x\right)z^{n},}}
    0 references
    DLMF:18.12.E5
    0 references
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references