DLMF:10.32.E12 (Q3532): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2ajdec

Revision as of 13:43, 2 January 2020

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DLMF:10.32.E12
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    Statements

    Defining formula
    I ν ⁡ ( z ) = 1 2 ⁢ π ⁢ i ⁢ ∫ ∞ - i ⁢ π ∞ + i ⁢ π e z ⁢ cosh ⁡ t - ν ⁢ t ⁢ d t , modified-Bessel-first-kind 𝜈 𝑧 1 2 𝜋 𝑖 superscript subscript 𝑖 𝜋 𝑖 𝜋 superscript 𝑒 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=\frac{1}{2\pi i}\int_{% \infty-i\pi}^{\infty+i\pi}e^{z\cosh t-\nu t}\mathrm{d}t,}}
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    DLMF id
    DLMF:10.32.E12
    0 references
    constraint
    | ph ⁡ z | < 1 2 ⁢ π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ajdec
    0 references
     
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