Is there a term for not starting a sentence with the word "I"? [duplicate]

Is there a name for a statement (either written or spoken) that excludes the subject "I"?

Some example statements are:

• "Happy to provide any additional information you might need."
• "Appreciate you taking the time to answer my question."
• "Obviously, just a huge fan of this site."

I often see this in business communication or situations where the writer/speaker is attempting some kind of "formality" and would love to have a name for the thing that irritates me. A linguistic explanation would be great, although a psychological explanation would be equally welcome.

Solution 1:

left-edge deletion

It is a type of ellipsis sometimes called conversational deletion.

In these cases, the subject, especially the pronoun "I" can be dropped. When the accompanying verb is "be", that can be dropped also.

"Appreciate you taking the time to answer my question."

Notice that in this sentence, the verb is 'appreciate', and that remains; however the other 2 examples have dropped the verb "be"

It is a type of language seen in diaries, informal conversations. and sometimes even in formal ones.