1) to reply by professing or by confessing
2) to agree mutually (in turn), to make a compact
3) to acknowledge in the presence of
3a) to give thanks
Part of Speech: verb
Citing in TDNT: 5:199, 687
From G473 and the middle of G3670; to confess in turn, that is, respond in praise: - give thanks.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root ἀνθομολογέομαι; click on the second column to search for that grammatical form of the root ἀνθομολογέομαι; click on the third column to search for that word and grammatical form; click on the total to search for the root ἀνθομολογέομαι.