can i recover my photos that i deleted from recently delete? how can i get my photos back?

You can throw your money away if you want. A person in my office accidentally deleted photos and videos from the recently deleted album. They paid a recovery service $700, non-refundable and the service was unable to recover the deleted items. I advised they were wasting their money.

Items on your iPhone are encrypted end to end. As such, once permanently removed, they really ARE permanently removed.

You are learning an unfortunate lesson. If you have photos and videos which are truly important, having redundant backup is a good investment. You can use Amazon or Google Photos to backup to. Dropbox, One Drive, and many other backup services. Most are not expensive, but ensure when something unfortunate such as this happens, they have somewhere to go to retrieve them.

You'll have to restore from original sources or your backups that you keep oof your most important data.

The photos are gone for good unless you backed them up to another service or a separate hard drive.

I think it might possible with a special recovery software

It's tough to recover something that is no longer there. Make sure that the "special recover software" has a money back guarantee.

it works for computers, why not for mobile devices?

A mobile device is not a computer.