is_front_page() returns true when on the site front page (what is commonly referred to as the “home” page).
is_front_page() returns true when on the site front page, whether the front page is set to display the Blog Posts Index or a static Page.
is_home() returns true when displaying the Blog Posts Index.
is_home() returns true when displaying the Blog Posts Index, whether on the Front Page, or on a static Page.