DLMF:11.11.E10 (Q4074): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec
Property / Symbols used
 
Property / Symbols used: Q11492 / rank
 
Normal rank
Property / Symbols used: Q11492 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11492 / qualifier
 
xml-id: C11.S1.XMD3.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11497 / rank
 
Normal rank
Property / Symbols used: Q11497 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11497 / qualifier
 
xml-id: C11.S1.XMD5.m1edec
Property / Symbols used
 
Property / Symbols used: Q11510 / rank
 
Normal rank
Property / Symbols used: Q11510 / qualifier
 
test:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q11510 / qualifier
 
xml-id: C11.S11.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11511 / rank
 
Normal rank
Property / Symbols used: Q11511 / qualifier
 
test:

a k ⁢ ( λ ) subscript 𝑎 𝑘 𝜆 {\displaystyle{\displaystyle a_{k}(\lambda)}}

a_{k}(\lambda)
Property / Symbols used: Q11511 / qualifier
 
xml-id: C11.S11.XMD4.m1bdec

Latest revision as of 14:02, 2 January 2020

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English
DLMF:11.11.E10
No description defined

    Statements

    test
    𝐀 - ν ⁡ ( λ ⁢ ν ) ∼ - 1 π ⁢ ∑ k = 0 ∞ ( 2 ⁢ k ) ! ⁢ a k ⁢ ( - λ ) ν 2 ⁢ k + 1 , asymptotic-expansion associated-Anger-Weber-A 𝜈 𝜆 𝜈 1 𝜋 superscript subscript 𝑘 0 2 𝑘 subscript 𝑎 𝑘 𝜆 superscript 𝜈 2 𝑘 1 {\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim-\frac% {1}{\pi}\sum_{k=0}^{\infty}\frac{(2k)!\,a_{k}(-\lambda)}{\nu^{2k+1}},}}
    0 references
    DLMF id
    DLMF:11.11.E10
    0 references
    constraint
    ν → + ∞ → 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}
    0 references
    Symbols used
    Anger–Weber function
    test
    𝐀 ν ⁡ ( z ) associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E4.m2abdec
    0 references
    Q10931
    test
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11addec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    Q11492
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1gdec
    0 references
    Q11497
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C11.S1.XMD5.m1edec
    0 references
    Q11510
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C11.S11.XMD3.m1bdec
    0 references
    Q11511
    test
    a k ⁢ ( λ ) subscript 𝑎 𝑘 𝜆 {\displaystyle{\displaystyle a_{k}(\lambda)}}
    xml-id
    C11.S11.XMD4.m1bdec
    0 references
     
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