What is the noun for persuasively?

There isn't a single noun that directly corresponds to the adverb "persuasively". However, depending on the context, you could use several nouns to convey a similar meaning:

General:

* Persuasion: This is the most straightforward option, referring to the act of convincing someone.

* Influence: This highlights the power to sway someone's opinion or actions.

* Suasion: This is a more formal term for persuasion.

Specific:

* Argument: This refers to a logical and reasoned presentation aimed at persuasion.

* Appeal: This suggests a call to emotions or desires to persuade.

* Coercion: This implies a more forceful form of persuasion, often involving pressure or threats.

The best choice will depend on the specific context and what you want to emphasize.