douzo yoroshiku onegai shimasu
どうぞ よろしくおねがいします
Pleased to meet you. (lit. Please be nice to me. Usually it is used at the end of a self-introduction.)
Note
[doozo yoroshiku onegaishimasu]…is more polite than "doozho yoroshiku".
Example
A：Bさん、こちらは Cさんです。
C：はじめまして。Cです。どうぞ よろしく おねがいします。
B：こちらこそ よろしく。
A: Mr./Ms. B, this is Mr./Ms. C.
C: How do you do? I am C. Pleased to meet you.
B: Pleased to meet you, too.