DLMF:18.12.E13 (Q5655)

From DRMF
Revision as of 18:00, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.12.E13
No description defined

    Statements

    Defining formula
    ( 1 - z ) - α - 1 ⁢ exp ⁡ ( x ⁢ z z - 1 ) = ∑ n = 0 ∞ L n ( α ) ⁡ ( x ) ⁢ z n , superscript 1 𝑧 𝛼 1 𝑥 𝑧 𝑧 1 superscript subscript 𝑛 0 Laguerre-polynomial-L 𝛼 𝑛 𝑥 superscript 𝑧 𝑛 {\displaystyle{\displaystyle(1-z)^{-\alpha-1}\exp\left(\frac{xz}{z-1}\right)=% \sum_{n=0}^{\infty}L^{(\alpha)}_{n}\left(x\right)z^{n},}}
    0 references
    DLMF id
    DLMF:18.12.E13
    0 references
    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5655&oldid=19147"