DLMF:10.56.E5 (Q3769): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.56.E5	No description defined

Statements

Defining formula

{\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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DLMF:10.56.E5

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5addec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle\mathsf{k}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E9.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ddec

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