DLMF:2.9.E12 (Q985): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11102 / rank
 
Normal rank
Property / Symbols used: Q11102 / qualifier
 
Defining formula:

w j ⁢ ( n ) subscript 𝑤 𝑗 𝑛 {\displaystyle{\displaystyle w_{j}(n)}}

w_{j}(n)
Property / Symbols used: Q11102 / qualifier
 
xml-id: C2.S9.XMD9.m1bdec

Latest revision as of 17:32, 1 January 2020

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DLMF:2.9.E12
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    Statements

    Defining formula
    w j ⁢ ( n ) ∼ ρ n ⁢ n α j ⁢ ∑ s = 0 ∞ a s , j n s , asymptotic-expansion subscript 𝑤 𝑗 𝑛 superscript 𝜌 𝑛 superscript 𝑛 subscript 𝛼 𝑗 superscript subscript 𝑠 0 subscript 𝑎 𝑠 𝑗 superscript 𝑛 𝑠 {\displaystyle{\displaystyle w_{j}(n)\sim\rho^{n}n^{\alpha_{j}}\sum_{s=0}^{% \infty}\frac{a_{s,j}}{n^{s}},}}
    0 references
    DLMF id
    DLMF:2.9.E12
    0 references
    constraint
    n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11acdec
    0 references
    Q11103
    Defining formula
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    xml-id
    C2.S9.XMD10.m1adec
    0 references
    Q11102
    Defining formula
    w j ⁢ ( n ) subscript 𝑤 𝑗 𝑛 {\displaystyle{\displaystyle w_{j}(n)}}
    xml-id
    C2.S9.XMD9.m1bdec
    0 references
     
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