DLMF:10.56.E5 (Q3769): 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.m2adec

Revision as of 13:16, 2 January 2020

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DLMF:10.56.E5
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    exp ( - z 2 + 2 i z t ) z = e - z z + 2 π n = 1 ( - i t ) n n ! 𝗄 n - 1 ( z ) . superscript 𝑧 2 2 𝑖 𝑧 𝑡 𝑧 superscript 𝑒 𝑧 𝑧 2 𝜋 superscript subscript 𝑛 1 superscript 𝑖 𝑡 𝑛 𝑛 spherical-Bessel-K 𝑛 1 𝑧 {\displaystyle{\displaystyle\frac{\exp\left(-\sqrt{z^{2}+2izt}\right)}{z}=% \frac{e^{-z}}{z}+\frac{2}{\pi}\sum_{n=1}^{\infty}\frac{(-it)^{n}}{n!}\mathsf{k% }_{n-1}\left(z\right).}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
    0 references