DLMF:10.9.E17 (Q3085): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2ajdec

Revision as of 15:15, 2 January 2020

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DLMF:10.9.E17
No description defined

    Statements

    Defining formula
    J ν ⁡ ( z ) = 1 2 ⁢ π ⁢ i ⁢ ∫ ∞ - π ⁢ i ∞ + π ⁢ i e z ⁢ sinh ⁡ t - ν ⁢ t ⁢ d t , Bessel-J 𝜈 𝑧 1 2 𝜋 𝑖 superscript subscript 𝜋 𝑖 𝜋 𝑖 superscript 𝑒 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{1}{2\pi i}\int_{% \infty-\pi i}^{\infty+\pi i}e^{z\sinh t-\nu t}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:10.9.E17
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2ahdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2apdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1apdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
    0 references
     
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