especially vs peculiarly

especially and peculiarly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
especially	No	No	No	Yes
peculiarly	No	No	No	Yes

As adverbs, especially and peculiarly are synonyms defined as:

especially and peculiarly: to a distinctly greater extent or degree than is common

Other synonyms of especially include particularly, specially.

especially (adverb)	peculiarly (adverb)
to a distinctly greater extent or degree than is common	in a manner differing from the usual or expected
in a special manner	uniquely or characteristically
	to a distinctly greater extent or degree than is common