influence vs mesmerize

influence is a noun but mesmerize is not a noun.

Word	Noun	Adjective	Verb	Adverb
influence	Yes	No	Yes	No
mesmerize	No	No	Yes	No

As verbs, mesmerize is a hyponym of influence; that is, mesmerize is a word with a more specific, narrower meaning than influence:

Other hyponyms of influence include bewitch, magnetise, magnetize, mesmerise, spellbind.

influence (noun)	mesmerize (noun)
causing something without any direct or apparent effort
a power to affect persons or events especially power based on prestige etc
a cognitive factor that tends to have an effect on what you do
one having power to influence another
the effect of one thing (or person) on another

influence (verb)	mesmerize (verb)
shape or influence; give direction to	induce hypnosis in
induce into action by using one's charm	attract strongly, as if with a magnet
have and exert influence or effect