Migrated Twitter API from 1.0 to 1.1

There are some APIs that have been removed in API v1.1:

- get_user_profile_image
- exists_friendships
- get_retweeted_to_me
- get_retweeted_by_me

Some API like exists_friendships, get_user_profile_image can use other API instead.
But I can't find replacements for the following API:

- get_retweeted_to_me
- get_retweeted_by_me