DLMF:8.21.E15 (Q2737): Difference between revisions

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imported>Admin
Property / constraint
 

a 0 , - 2 , - 4 , 𝑎 0 2 4 {\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}}

a\neq 0,-2,-4,\dots
Property / constraint: a 0 , - 2 , - 4 , 𝑎 0 2 4 {\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}} / rank
 
Normal rank

Revision as of 16:13, 30 December 2019

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DLMF:8.21.E15
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    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)!},}}
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    a 0 , - 2 , - 4 , 𝑎 0 2 4 {\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}}
    0 references