DLMF:10.23.E10 (Q3464): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11428 / rank
 
Normal rank
Property / Symbols used: Q11428 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11428 / qualifier
 
xml-id: C10.S1.XMD3.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1ddec
Property / Symbols used
 
Property / Symbols used: DLMF:10.23.E11 / rank
 
Normal rank
Property / Symbols used: DLMF:10.23.E11 / qualifier
 
test:

a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}

a_{k}
Property / Symbols used: DLMF:10.23.E11 / qualifier
 
xml-id: C10.S23.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q11476 / rank
 
Normal rank
Property / Symbols used: Q11476 / qualifier
 
test:

f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}

f(t)
Property / Symbols used: Q11476 / qualifier
 
xml-id: C10.S23.XMD3.m1dec

Latest revision as of 12:30, 2 January 2020

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DLMF:10.23.E10
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    Statements

    f ( z ) = a 0 J 0 ( z ) + 2 k = 1 a k J k ( z ) , 𝑓 𝑧 subscript 𝑎 0 Bessel-J 0 𝑧 2 superscript subscript 𝑘 1 subscript 𝑎 𝑘 Bessel-J 𝑘 𝑧 {\displaystyle{\displaystyle f(z)=a_{0}J_{0}\left(z\right)+2\sum_{k=1}^{\infty% }a_{k}J_{k}\left(z\right),}}
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    | z | < c 𝑧 𝑐 {\displaystyle{\displaystyle|z|<c}}
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    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2agdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C10.S1.XMD3.m1hdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C10.S1.XMD6.m1ddec
    0 references
    a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}
    C10.S23.XMD2.m1dec
    0 references
    f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    C10.S23.XMD3.m1dec
    0 references