DLMF:10.21.E22 (Q3306): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11428 / rank
 
Normal rank
Property / Symbols used: Q11428 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11428 / qualifier
 
xml-id: C10.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1tdec
Property / Symbols used
 
Property / Symbols used: Q11460 / rank
 
Normal rank
Property / Symbols used: Q11460 / qualifier
 
Defining formula:

ρ ν ( t ) subscript 𝜌 𝜈 𝑡 {\displaystyle{\displaystyle\rho_{\nu}(t)}}

\rho_{\nu}(t)
Property / Symbols used: Q11460 / qualifier
 
xml-id: C10.S21.XMD1.m1fdec
Property / Symbols used
 
Property / Symbols used: coefficients (locally) / rank
 
Normal rank
Property / Symbols used: coefficients (locally) / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: coefficients (locally) / qualifier
 
xml-id: C10.S21.XMD4.m1dec

Latest revision as of 15:43, 2 January 2020

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DLMF:10.21.E22
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    Statements

    ρ ν ( t ) ν k = 0 α k ν 2 k / 3 , asymptotic-expansion subscript 𝜌 𝜈 𝑡 𝜈 superscript subscript 𝑘 0 subscript 𝛼 𝑘 superscript 𝜈 2 𝑘 3 {\displaystyle{\displaystyle\rho_{\nu}(t)\sim\nu\sum_{k=0}^{\infty}\frac{% \alpha_{k}}{\nu^{2k/3}},}}
    0 references
    DLMF:10.21.E22
    0 references
    asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    C2.S1.SS3.p1.m11acdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C10.S1.XMD3.m1bdec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C10.S1.XMD7.m1tdec
    0 references
    ρ ν ( t ) subscript 𝜌 𝜈 𝑡 {\displaystyle{\displaystyle\rho_{\nu}(t)}}
    C10.S21.XMD1.m1fdec
    0 references
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    C10.S21.XMD4.m1dec
    0 references