DLMF:10.13.E8 (Q3133)

From DRMF
Revision as of 17:17, 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:10.13.E8
No description defined

    Statements

    Defining formula
    w ( 2 ⁢ n ) = ( - 1 ) n ⁢ λ 2 ⁢ n ⁢ z - n ⁢ w , superscript 𝑤 2 𝑛 superscript 1 𝑛 superscript 𝜆 2 𝑛 superscript 𝑧 𝑛 𝑤 {\displaystyle{\displaystyle w^{(2n)}=(-1)^{n}\lambda^{2n}z^{-n}w,}}
    0 references
    DLMF id
    DLMF:10.13.E8
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    w = z 1 2 ⁢ n ⁢ 𝒞 n ⁡ ( 2 ⁢ λ ⁢ e k ⁢ π ⁢ i / n ⁢ z 1 2 ) 𝑤 superscript 𝑧 1 2 𝑛 cylinder-function 𝑛 2 𝜆 superscript 𝑒 𝑘 𝜋 imaginary-unit 𝑛 superscript 𝑧 1 2 {\displaystyle{\displaystyle w=z^{\frac{1}{2}n}\mathscr{C}_{n}\left(2\lambda e% ^{k\pi\mathrm{i}/n}z^{\frac{1}{2}}\right)}}
    0 references
    w = z 1 2 ⁢ n 𝒞 n ( 2 λ e k ⁢ π ⁢ i / n z 1 missing fragments w superscript 𝑧 1 2 𝑛 subscript 𝒞 𝑛 fragments ( 2 λ superscript 𝑒 𝑘 𝜋 i 𝑛 superscript 𝑧 1 missing {\displaystyle{\displaystyle w=z^{\frac{1}{2}n}\mathscr{C}_{n}\left(2\lambda e% ^{k\pi\mathrm{i}/n}z^{\frac{1}{missing}\)\@add@PDF@RDFa@triples\end{document}}}}
    0 references
    k = 0 , 1 , … , 2 ⁢ n - 1 𝑘 0 1 … 2 𝑛 1 {\displaystyle{\displaystyle k=0,1,\ldots,2n-1}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3133&oldid=18341"