Formula:1709

Digital Library of Mathematical Functions ID 4.9.E4

${\displaystyle{\displaystyle e^{z}-e_{n-1}(z)={\cfrac{z^{n}}{n!-\cfrac{n!z}{(n+1)+\cfrac{z}{(n+2)-\cfrac{(n+1)z}{(n+3)+\cfrac{2z}{(n+4)-}}}}}\cfrac{(n+2)z}{(n+5)+\cfrac{3z}{(n+6)-}}\cdots},}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle e_{n}(z)}}$: expansion of exponential (locally)
 

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