DLMF:10.49.E7 (Q3701): Difference between revisions

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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.m2aadec

Revision as of 14:11, 2 January 2020

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DLMF:10.49.E7
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    Statements

    𝗁 n ( 2 ) ( z ) = e - i z k = 0 n ( - i ) k - n - 1 a k ( n + 1 2 ) z k + 1 . spherical-Hankel-H-2-Bessel-third-kind 𝑛 𝑧 superscript 𝑒 𝑖 𝑧 superscript subscript 𝑘 0 𝑛 superscript 𝑖 𝑘 𝑛 1 subscript 𝑎 𝑘 𝑛 1 2 superscript 𝑧 𝑘 1 {\displaystyle{\displaystyle{\mathsf{h}^{(2)}_{n}}\left(z\right)=e^{-iz}\sum_{% k=0}^{n}(-i)^{k-n-1}\frac{a_{k}(n+\frac{1}{2})}{z^{k+1}}.}}
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
    0 references