Formal:
* Bonjour, elle s'appelle Jessy. (This is the most formal and polite way to say it.)
Informal:
* Salut, elle s'appelle Jessy. (This is a more casual way to say it.)
* Coucou, elle s'appelle Jessy. (This is very informal and friendly.)
You could also use a phrase like:
* Je te présente Jessy. (This means "I'd like to introduce you to Jessy.")
It's important to choose the appropriate greeting based on the situation and your relationship with the person you are speaking to.