DLMF:9.10.E10 (Q2892)

From DRMF
Revision as of 16:02, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Wikidata Toolkit example test statement addition)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:9.10.E10
No description defined

    Statements

    Defining formula
    ∫ z n + 3 ⁢ w ⁢ ( z ) ⁢ d z = z n + 2 ⁢ w ′ ⁢ ( z ) - ( n + 2 ) ⁢ z n + 1 ⁢ w ⁢ ( z ) + ( n + 1 ) ⁢ ( n + 2 ) ⁢ ∫ z n ⁢ w ⁢ ( z ) ⁢ d z , superscript 𝑧 𝑛 3 𝑤 𝑧 𝑧 superscript 𝑧 𝑛 2 superscript 𝑤 ′ 𝑧 𝑛 2 superscript 𝑧 𝑛 1 𝑤 𝑧 𝑛 1 𝑛 2 superscript 𝑧 𝑛 𝑤 𝑧 𝑧 {\displaystyle{\displaystyle\int z^{n+3}w(z)\mathrm{d}z=z^{n+2}w^{\prime}(z)-(% n+2)z^{n+1}w(z)+(n+1)(n+2)\int z^{n}w(z)\mathrm{d}z,}}
    0 references
    DLMF id
    DLMF:9.10.E10
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2892&oldid=17003"