DLMF:10.64.E1 (Q3829): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
test:

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2adec

Revision as of 14:21, 2 January 2020

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DLMF:10.64.E1
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    Statements

    test
    ber n ⁡ ( x ⁢ 2 ) = ( - 1 ) n π ⁢ ∫ 0 π cos ⁡ ( x ⁢ sin ⁡ t - n ⁢ t ) ⁢ cosh ⁡ ( x ⁢ sin ⁡ t ) ⁢ d t , Kelvin-ber 𝑛 𝑥 2 superscript 1 𝑛 𝜋 superscript subscript 0 𝜋 𝑥 𝑡 𝑛 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{ber}_{n}\left(x\sqrt{2}\right)=\frac% {(-1)^{n}}{\pi}\int_{0}^{\pi}\cos\left(x\sin t-nt\right)\cosh\left(x\sin t% \right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:10.64.E1
    0 references
    Symbols used
    Kelvin function
    test
    ber ν ⁡ ( x ) Kelvin-ber 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{ber}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C10.S61.E1.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
     
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