$h$-index: Largest $h$ such that an author has at least $h$ papers with at least $h$ citations.
i10-index: Number of papers by an author with at least 10 citations.
self-$h$-index: Largest $h$ such that an author has at least $h$ papers that have been cited at least $h$ times in other papers by the author.
$y$-index: Largest $y$ such that an author published a paper in year $y$ with at least $y$ citations.
$d$-index: Largest $d$ such that for some $n$, an author has a paper with $n$ citations and a paper with $n+d$ citations and no paper with a number of citations between $n$ and $n+d$.
$g$-index: Largest $g$ such that an author’s $g$ most cited papers have at least $g^2$ citations.
$k$-index: Largest $k$ such that for some $n$, an author has papers with $n, n+1, \dots, n+k-1$ citations.
ii-index: Number of papers by an author with at least $\sqrt{-1}$ citations.
$m$-index: Author’s $h$-index divided by the number of years since their first paper.
$o$-index: Geometric mean of an author’s $h$-index and the number of citations of their most cited paper.
$p$-index: Largest $p$ such that an author has a paper with at least $p$ pages and at least $p$ citations.
$z$-index: Number of papers where an author is last alphabetically.
\$h\$-index: Number of papers with {\LaTeX} in their title that’s not parsed on the journal website.
$\mathbb{N}$-index: Smallest $n\in\mathbb{N}$ such that an author doesn’t have a paper with exactly $n$ citations.
$\mathbb{N}$-index: As above, but using the convention that $0\not\in\mathbb{N}$.
nepo-index: An author’s $h$-index multiplied by the sum of their parents’ $h$-indices.
Runge-index: Maximum value of the interpolation polynomial through the points $(\text{year},\text{number of citations})$ in the range $[\text{year of first publication},\text{this year}]$.
uv-index: Number of papers that were published on days when it was sunny.
Benford-index: Number of an author’s publications where the number of citations starts with a 1.
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