DLMF:2.3.E18 (Q737): Difference between revisions

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Property / constraint
 

s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}

s=0,1,2,\dots
Property / constraint: s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10960 / rank
 
Normal rank
Property / Symbols used: Q10960 / qualifier
 
test:

res residue {\displaystyle{\displaystyle\Residue}}

\Residue
Property / Symbols used: Q10960 / qualifier
 
xml-id: C1.S10.SS3.p5.m4adec
Property / Symbols used
 
Property / Symbols used: Q10956 / rank
 
Normal rank
Property / Symbols used: Q10956 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q10956 / qualifier
 
xml-id: C2.S3.XMD15.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10957 / rank
 
Normal rank
Property / Symbols used: Q10957 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q10957 / qualifier
 
xml-id: C2.S3.XMD16.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10958 / rank
 
Normal rank
Property / Symbols used: Q10958 / qualifier
 
test:

p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}

p(t)
Property / Symbols used: Q10958 / qualifier
 
xml-id: C2.S3.XMD17.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10959 / rank
 
Normal rank
Property / Symbols used: Q10959 / qualifier
 
test:

q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: Q10959 / qualifier
 
xml-id: C2.S3.XMD19.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10950 / rank
 
Normal rank
Property / Symbols used: Q10950 / qualifier
 
test:

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

\lambda
Property / Symbols used: Q10950 / qualifier
 
xml-id: C2.S3.XMD8.m1hdec
Property / Symbols used
 
Property / Symbols used: Q10951 / rank
 
Normal rank
Property / Symbols used: Q10951 / qualifier
 
test:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: Q10951 / qualifier
 
xml-id: C2.S3.XMD9.m1hdec

Latest revision as of 15:53, 1 January 2020

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DLMF:2.3.E18
No description defined

    Statements

    test
    b s = 1 μ ⁢ res t = a ⁡ [ q ⁢ ( t ) ( p ⁢ ( t ) - p ⁢ ( a ) ) ( λ + s ) / μ ] , subscript 𝑏 𝑠 1 𝜇 subscript residue 𝑡 𝑎 delimited-[] 𝑞 𝑡 superscript 𝑝 𝑡 𝑝 𝑎 𝜆 𝑠 𝜇 {\displaystyle{\displaystyle b_{s}=\frac{1}{\mu}\Residue_{t=a}\left[\frac{q(t)% }{(p(t)-p(a))^{(\lambda+s)/\mu}}\right],}}
    0 references
    DLMF id
    DLMF:2.3.E18
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
    0 references
    Symbols used
    Q10960
    test
    res residue {\displaystyle{\displaystyle\Residue}}
    xml-id
    C1.S10.SS3.p5.m4adec
    0 references
    Q10956
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S3.XMD15.m1cdec
    0 references
    Q10957
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S3.XMD16.m1ddec
    0 references
    Q10958
    test
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S3.XMD17.m1ddec
    0 references
    Q10959
    test
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD19.m1ddec
    0 references
    Q10950
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C2.S3.XMD8.m1hdec
    0 references
    Q10951
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C2.S3.XMD9.m1hdec
    0 references
     
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