As this Wikipedia entry and this biographical sketch (with some odd spellings of some names) indicate, Anquetin was in the thick of Post-Impressionism, knowing van Gogh and Lautrec well and helping launch Cloisonnisme, a style featuring dark outlines surrounding areas of flat or nearly flat colors.
As the second link mentions, Anquetin never developed a consistent personal style, something I've been noting with regard to some other painters. But some of his paintings and pastels are very good, which accounts for a renewal of interest in his work -- one of his paintings was even on display at the Musée d'Orsay when I was last there. Let's see what he was up to.
This was on display at the d'Orsay. A ghostly image not typical of Anquetin.
Another street scene. He seems to have painted a lot of these: more follow below.
As mentioned, Anquetin and Toulouse-Lautrec were good friends and haunted the same sites. This is Anquetin's take on dancing at the Moulin Rouge -- similar to Lautrec's, but less sketchy.
I haven't seen this in person. But based on reproductions, it's my favorite Anquetin work.
The only example I could find on the web of a late painting.