written application; application form
Refers to a physical or digital document submitted to request something, such as a permit, membership, or service.
I filled in the required information on the passport application form.
You can get the application form at the counter.
申請書 is a general-purpose administrative application form, while 願書 usually refers to a personal petition such as a school admission form.
business permit application form
Compound of 申請 (shinsei, 'application, request') and 書 (sho, 'document, writing').