DLMF:8.21.E14 (Q2736): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: generalized sine integral / rank
 
Normal rank
Property / Symbols used: generalized sine integral / qualifier
 
test:

Si ( a , z ) generalized-sine-integral-Si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}

\gensinint@{\NVar{a}}{\NVar{z}}
Property / Symbols used: generalized sine integral / qualifier
 
xml-id: C8.S21.E2.m3aedec
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.m1jdec
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.m1kdec
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.m1dec

Latest revision as of 13:17, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:8.21.E14
No description defined

    Statements

    Si ( a , z ) = z a k = 0 ( - 1 ) k z 2 k + 1 ( 2 k + a + 1 ) ( 2 k + 1 ) ! , generalized-sine-integral-Si 𝑎 𝑧 superscript 𝑧 𝑎 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 2 𝑘 1 2 𝑘 𝑎 1 2 𝑘 1 {\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=z^{a}\sum_{k=0}^{% \infty}\frac{(-1)^{k}z^{2k+1}}{(2k+a+1)(2k+1)!},}}
    0 references
    0 references
    a - 1 , - 3 , - 5 , 𝑎 1 3 5 {\displaystyle{\displaystyle a\neq-1,-3,-5,\dots}}
    0 references
    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Si ( a , z ) generalized-sine-integral-Si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}
    C8.S21.E2.m3aedec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C8.S1.XMD2.m1jdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1kdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C8.S1.XMD5.m1dec
    0 references