DLMF:10.56.E3 (Q3767)

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Language	Label	Description	Also known as
English	DLMF:10.56.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\cosh\sqrt{z^{2}+2izt}}{z}=\frac{\cosh z}{z}% +\sum_{n=1}^{\infty}\frac{(it)^{n}}{n!}{\mathsf{i}^{(1)}_{n-1}}\left(z\right),}}

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DLMF:10.56.E3

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}

C10.S47.E7.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1bdec

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