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I've seen the function $f(x)=\displaystyle \frac{e^x-1}x$ many places, most notably the definition of the Todd class. Is there a consensus on what it's name is? I couldn't find one on Wikipedia or Googling, but my brain thinks I knew one at one point.

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The reciprocal of $f$ appears in the definition of Bernoulli numbers. –  lhf Oct 7 '12 at 2:36
    
$z \cot z =z +\frac{1}{f(2iz)}$ –  PAD Oct 7 '12 at 9:59
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It seems this function has no name shorter than $\displaystyle \frac{e^x-1}x$. Well, maybe ${}_1F_1(1,2,x)$. –  GEdgar Oct 7 '12 at 20:02
    
It is Newton's quotient for $\exp$ at $0$ but that's neither short nor very clear... –  lhf Oct 9 '12 at 11:18

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