DLMF:10.53.E1 (Q3755): 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.m5adec

Revision as of 14:14, 2 January 2020

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DLMF:10.53.E1
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    Statements

    test
    𝗃 n ⁡ ( z ) = z n ⁢ ∑ k = 0 ∞ ( - 1 2 ⁢ z 2 ) k k ! ⁢ ( 2 ⁢ n + 2 ⁢ k + 1 ) !! , spherical-Bessel-J 𝑛 𝑧 superscript 𝑧 𝑛 superscript subscript 𝑘 0 superscript 1 2 superscript 𝑧 2 𝑘 𝑘 double-factorial 2 𝑛 2 𝑘 1 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=z^{n}\sum_{k=0}^{% \infty}\frac{(-\frac{1}{2}z^{2})^{k}}{k!(2n+2k+1)!!},}}
    0 references
    DLMF id
    DLMF:10.53.E1
    0 references
    constraint
    | z | < ∞ 𝑧 {\displaystyle{\displaystyle|z|<\infty}}
    0 references
    Symbols used
    Q11277
    test
    !! double-factorial {\displaystyle{\displaystyle!!}}
    xml-id
    introduction.Sx4.p1.t1.r16.m7adec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
     
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