DLMF:8.21.E15 (Q2737): 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: generalized cosine integral / rank
 
Normal rank
Property / Symbols used: generalized cosine integral / qualifier
 
test:

Ci ⁡ ( a , z ) generalized-cosine-integral-Ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{a},\NVar{z}\right)}}

\gencosint@{\NVar{a}}{\NVar{z}}
Property / Symbols used: generalized cosine integral / qualifier
 
xml-id: C8.S21.E2.m2addec
Property / Symbols used
 
Property / Symbols used: Q11323 / rank
 
Normal rank
Property / Symbols used: Q11323 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11323 / qualifier
 
xml-id: C8.S1.XMD2.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1ldec
Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1adec

Latest revision as of 13:17, 2 January 2020

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DLMF:8.21.E15
No description defined

    Statements

    test
    Ci ⁡ ( a , z ) = z a ⁢ ∑ k = 0 ∞ ( - 1 ) k ⁢ z 2 ⁢ k ( 2 ⁢ k + a ) ⁢ ( 2 ⁢ k ) ! , generalized-cosine-integral-Ci 𝑎 𝑧 superscript 𝑧 𝑎 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 2 𝑘 2 𝑘 𝑎 2 𝑘 {\displaystyle{\displaystyle\mathrm{Ci}\left(a,z\right)=z^{a}\sum_{k=0}^{% \infty}\frac{(-1)^{k}z^{2k}}{(2k+a)(2k)!},}}
    0 references
    DLMF id
    DLMF:8.21.E15
    0 references
    constraint
    a ≠ 0 , - 2 , - 4 , … 𝑎 0 2 4 … {\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}}
    0 references
    Symbols used
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    generalized cosine integral
    test
    Ci ⁡ ( a , z ) generalized-cosine-integral-Ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E2.m2addec
    0 references
    Q11323
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1kdec
    0 references
    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1ldec
    0 references
    Q11330
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1adec
    0 references
     
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