Hi,

As there is no direct options, see whether this option helps: open the customer form view, you can see a smart button named Invoiced, on clicking that you can see all entries of the customer. 

Also you have filter options in the search view, from which you can filter the records of the current month and using export excel button in tree view, you can print the records.

Thanks

In the Accounting Module --> Accounting Report > Accounts Receivable may have the info you want, but you may need to format it a bit before sending it out.