Formula:4251

Digital Library of Mathematical Functions ID 10.35.E5

${\displaystyle{\displaystyle e^{\pm z}=I_{0}\left(z\right)\pm 2I_{1}\left(z\right)+2I_{2}\left(z\right)\pm 2I_{3}\left(z\right)+\cdots,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the first kind
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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