DLMF:10.23.E7 (Q3461): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2adec

Revision as of 12:29, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.23.E7
No description defined

    Statements

    𝒞 ν ( w ) cos sin ( ν χ ) = k = - 𝒞 ν + k ( u ) J k ( v ) cos sin ( k α ) , cylinder-function 𝜈 𝑤 selection 𝜈 𝜒 superscript subscript 𝑘 cylinder-function 𝜈 𝑘 𝑢 Bessel-J 𝑘 𝑣 selection 𝑘 𝛼 {\displaystyle{\displaystyle\mathscr{C}_{\nu}\left(w\right)\selection{\cos\\ \sin}(\nu\chi)=\sum_{k=-\infty}^{\infty}\mathscr{C}_{\nu+k}\left(u\right)J_{k}% \left(v\right)\selection{\cos\\ \sin}(k\alpha),}}
    0 references
    0 references
    | v e ± i α | < | u | 𝑣 superscript 𝑒 plus-or-minus 𝑖 𝛼 𝑢 {\displaystyle{\displaystyle|ve^{\pm i\alpha}|<|u|}}
    0 references
    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2addec
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2aadec
    0 references
    𝒞 ν ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.Px5.p1.m3abdec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
    0 references