influence vs mesmerism

influence and mesmerism both are nouns.

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

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

influence (noun)	mesmerism (noun)
causing something without any direct or apparent effort	the act of inducing hypnosis
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)	mesmerism (verb)
shape or influence; give direction to
induce into action by using one's charm
have and exert influence or effect