You can find an author's citation metrics (e.g., h-index) in various literature databases like Web of Science and Scopus. Search for the author by name then view their "Citation Report" (Web of Science) or "Citation Overview" (Scopus). Remember that these metrics will vary depending on what the database indexes.
PoP is a free software program that retrieves and analyzes academic citations. It uses Google Scholar to obtain the raw citations, then analyzes these and presents the following statistics:
This blog post gives a simple "how-to" guide to getting started with the software.
There is also an accompanying book (print available in the library):
This handbook provides evidence-based advice and guidance on how to ensure that your work achieves its maximum visibility and influence with both academic and external audiences. Directed at social scientists, but broadly useful for all academics.
Produced by the London School of Economics (LSE) Impact of Social Sciences project.
Hirsch's h-index
Egghe's g-index
Proposed by Leo Egghe in his paper Theory and practice of the g-index, Scientometrics, Vol. 69, No 1 (2006), pp. 131-152. It aims to improve on the h-index by giving more weight to highly-cited articles.
Zhang's e-index
The e-index was proposed by Chun-Ting Zhang in his paper The e-index, complementing the h-index for excess citations, PLoS ONE, Vol 5, Issue 5 (May 2009), e5429. The e-index is the (square root) of the surplus of citations in the h-set beyond h2, i.e., beyond the theoretical minimum required to obtain a h-index of 'h'. The aim of the e-index is to differentiate between scientists with similar h-indices but different citation patterns.
**See more metric definitions on Dr. Harzing's website.
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