DLMF:11.10.E4 (Q4021): 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.m2adec

Revision as of 13:54, 2 January 2020

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DLMF:11.10.E4
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    Statements

    test
    𝐀 ν ⁡ ( z ) = 1 π ⁢ ∫ 0 ∞ e - ν ⁢ t - z ⁢ sinh ⁡ t ⁢ d t , associated-Anger-Weber-A 𝜈 𝑧 1 𝜋 superscript subscript 0 superscript 𝑒 𝜈 𝑡 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\mathbf{A}_{\nu}\left(z\right)=\frac{1}{\pi}\int_{% 0}^{\infty}e^{-\nu t-z\sinh t}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:11.10.E4
    0 references
    constraint
    ℜ ⁡ z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
     
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