DLMF:2.11.E19 (Q1044): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11141 / rank
 
Normal rank
Property / Symbols used: Q11141 / qualifier
 
test:

R n ( j ) ( z ) superscript subscript 𝑅 𝑛 𝑗 𝑧 {\displaystyle{\displaystyle R_{n}^{(j)}(z)}}

R_{n}^{(j)}(z)
Property / Symbols used: Q11141 / qualifier
 
xml-id: C2.S11.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q11142 / rank
 
Normal rank
Property / Symbols used: Q11142 / qualifier
 
test:

a s , j subscript 𝑎 𝑠 𝑗 {\displaystyle{\displaystyle a_{s,j}}}

a_{s,j}
Property / Symbols used: Q11142 / qualifier
 
xml-id: C2.S11.XMD9.m1dec
Property / Symbols used
 
Property / Symbols used: Q11055 / rank
 
Normal rank
Property / Symbols used: Q11055 / qualifier
 
test:

λ j subscript 𝜆 𝑗 {\displaystyle{\displaystyle\lambda_{j}}}

\lambda_{j}
Property / Symbols used: Q11055 / qualifier
 
xml-id: C2.S7.XMD14.m1dec
Property / Symbols used
 
Property / Symbols used: Q11056 / rank
 
Normal rank
Property / Symbols used: Q11056 / qualifier
 
test:

μ j subscript 𝜇 𝑗 {\displaystyle{\displaystyle\mu_{j}}}

\mu_{j}
Property / Symbols used: Q11056 / qualifier
 
xml-id: C2.S7.XMD15.m1dec
Property / Symbols used
 
Property / Symbols used: Q11050 / rank
 
Normal rank
Property / Symbols used: Q11050 / qualifier
 
test:

w j ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}

w_{j}(z)
Property / Symbols used: Q11050 / qualifier
 
xml-id: C2.S7.XMD8.m1dec

Latest revision as of 17:41, 1 January 2020

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DLMF:2.11.E19
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    Statements

    w j ( z ) = e λ j z z μ j s = 0 n - 1 a s , j z s + R n ( j ) ( z ) , subscript 𝑤 𝑗 𝑧 superscript 𝑒 subscript 𝜆 𝑗 𝑧 superscript 𝑧 subscript 𝜇 𝑗 superscript subscript 𝑠 0 𝑛 1 subscript 𝑎 𝑠 𝑗 superscript 𝑧 𝑠 superscript subscript 𝑅 𝑛 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)=e^{\lambda_{j}z}z^{\mu_{j}}\sum_{s=0}^{n% -1}\frac{a_{s,j}}{z^{s}}+R_{n}^{(j)}(z),}}
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    Warning: Falling back to standard tex;
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    j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}}
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aldec
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    R n ( j ) ( z ) superscript subscript 𝑅 𝑛 𝑗 𝑧 {\displaystyle{\displaystyle R_{n}^{(j)}(z)}}
    C2.S11.XMD10.m1dec
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    a s , j subscript 𝑎 𝑠 𝑗 {\displaystyle{\displaystyle a_{s,j}}}
    C2.S11.XMD9.m1dec
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    λ j subscript 𝜆 𝑗 {\displaystyle{\displaystyle\lambda_{j}}}
    C2.S7.XMD14.m1dec
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    μ j subscript 𝜇 𝑗 {\displaystyle{\displaystyle\mu_{j}}}
    C2.S7.XMD15.m1dec
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    w j ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}
    C2.S7.XMD8.m1dec
    0 references