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If you're submitting to a journal or conference proceedings, the publisher's template may have defined a custom command for creating genitive or possessive cites (e.g. Smith's (1990) study shows...), so check the provided sample template or instructions to authors.

Otherwise, you can create such cites depending on which package is used. Here are some examples:

Using harvard


Using natbib

\citeauthor{Smith:1990}'s \citeyearpar{Smith:1990}

Using biblatex

\citeauthor{Smith:1990}'s (\citeyear{Smith:1990})

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