DLMF:10.32.E9 (Q3529): Difference between revisions

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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
 
test:

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.m2agdec

Revision as of 13:42, 2 January 2020

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DLMF:10.32.E9
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    Statements

    K ν ( z ) = 0 e - z cosh t cosh ( ν t ) d t , modified-Bessel-second-kind 𝜈 𝑧 superscript subscript 0 superscript 𝑒 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle K_{\nu}\left(z\right)=\int_{0}^{\infty}e^{-z\cosh t% }\cosh\left(\nu t\right)\mathrm{d}t,}}
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    | ph z | < 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2agdec
    0 references