DLMF:18.17.E2 (Q5743): Difference between revisions

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imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aadec

Revision as of 14:44, 2 January 2020

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DLMF:18.17.E2
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    Statements

    0 x L m ( y ) L n ( x - y ) d y = 0 x L m + n ( y ) d y = L m + n ( x ) - L m + n + 1 ( x ) . superscript subscript 0 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑦 shorthand-Laguerre-polynomial-L 𝑛 𝑥 𝑦 𝑦 superscript subscript 0 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑛 𝑦 𝑦 shorthand-Laguerre-polynomial-L 𝑚 𝑛 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑛 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}L_{m}\left(y\right)L_{n}\left(x-y% \right)\mathrm{d}y=\int_{0}^{x}L_{m+n}\left(y\right)\mathrm{d}y=L_{m+n}\left(x% \right)-L_{m+n+1}\left(x\right).}}
    0 references
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references