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.
Does the function $\frac{e^x-1}{x}$ have a conventional name?
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elementary-functions
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2The reciprocal of $f$ appears in the definition of [Bernoulli numbers](http://en.wikipedia.org/wiki/Bernoulli_number#Generating_function). – 2012-10-07
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1$z \cot z =z +\frac{1}{f(2iz)}$ – 2012-10-07
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2It seems this function has no name shorter than $\displaystyle \frac{e^x-1}x$. Well, maybe ${}_1F_1(1,2,x)$. – 2012-10-07
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1It is [Newton's quotient](http://en.wikipedia.org/wiki/Newton%27s_quotient) for $\exp$ at $0$ but that's neither short nor very clear... – 2012-10-09