You apply to become a customer by contacting the bank - often through the bank's website. You will need the following documentation:
Nemkonto - Your public payment account
In Denmark, all citizens must have a NemKonto to receive payments from public authorities. This includes your salary from the university, which will be paid directly into your NemKonto. When you open a bank account in Denmark, it will typically be registered as your NemKonto automatically.
You can choose any existing account—Danish or foreign—to serve as your NemKonto.
Read more about how to assign a Danish or foreign account as your NemKonto on Lifeindenmark.dk
You need a MitID to access online banking services, which includes transferring money online. MitID is your personal digital ID and ensures you can sign in securely to online services. You will be issued with MitID at Citizens Service when you register for your CPR number. Read more about MitID
International Community has put together a list of banks and the services they offer.
See the list of banks (PDF)