DLMF:10.35.E2 (Q3551): Difference between revisions

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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 12:47, 2 January 2020

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DLMF:10.35.E2
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    Statements

    test
    e z ⁢ cos ⁡ θ = I 0 ⁡ ( z ) + 2 ⁢ ∑ k = 1 ∞ I k ⁡ ( z ) ⁢ cos ⁡ ( k ⁢ θ ) , superscript 𝑒 𝑧 𝜃 modified-Bessel-first-kind 0 𝑧 2 superscript subscript 𝑘 1 modified-Bessel-first-kind 𝑘 𝑧 𝑘 𝜃 {\displaystyle{\displaystyle e^{z\cos\theta}=I_{0}\left(z\right)+2\sum_{k=1}^{% \infty}I_{k}\left(z\right)\cos\left(k\theta\right),}}
    0 references
    DLMF id
    DLMF:10.35.E2
    0 references
    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
     
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