With utmost respect, I would like to inform you that my name is _________ (name) and I am studying __________ (course name) having registration number __________ (mention number).
I write this email to bring to your attention that recently, I have applied for _____________(higher studies/course name) at ___________ (university name). For the admission process, I have to arrange and submit a recommendation letter under my name. So, I request you to provide me with a recommendation letter so that I can continue my admission process. If you need any further information, please let me know at your convenience.
Thank you for your time and consideration.
____________ (Contact details)