DLMF:10.44.E5 (Q3653): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Euler’s constant / rank
 
Normal rank
Property / Symbols used: Euler’s constant / qualifier
 
test:

γ {\displaystyle{\displaystyle\gamma}}

\EulerConstant
Property / Symbols used: Euler’s constant / qualifier
 
xml-id: C5.S2.E3.m2adec

Revision as of 13:05, 2 January 2020

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DLMF:10.44.E5
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    K 0 ( z ) = - ( ln ( 1 2 z ) + γ ) I 0 ( z ) + 2 k = 1 I 2 k ( z ) k , modified-Bessel-second-kind 0 𝑧 1 2 𝑧 modified-Bessel-first-kind 0 𝑧 2 superscript subscript 𝑘 1 modified-Bessel-first-kind 2 𝑘 𝑧 𝑘 {\displaystyle{\displaystyle K_{0}\left(z\right)=-\left(\ln\left(\tfrac{1}{2}z% \right)+\gamma\right)I_{0}\left(z\right)+2\sum_{k=1}^{\infty}\frac{I_{2k}\left% (z\right)}{k},}}
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    γ {\displaystyle{\displaystyle\gamma}}
    C5.S2.E3.m2adec
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