How do I change the format of a Python log message on a per-logger basis?

After reading the documentation on logging, I know I can use code like this to perform simple logging:

import logging

def main():
    logging.basicConfig(filename="messages.log",
                        level=logging.WARNING,
                        format='%(filename)s: '    
                                '%(levelname)s: '
                                '%(funcName)s(): '
                                '%(lineno)d:\t'
                                '%(message)s')

    logging.debug("Only for debug purposes\n")
    logging.shutdown()

main()

However, I realised I don't know how to change the format of log messages on a per-logger basis, since basicConfig is a module-level function. This code works for creating different loggers with different levels, names, etc. but is there a way to change the format of those log messages on a per-logger basis as well, in a way similar to basicConfig?

import inspect
import logging

def function_logger(level=logging.DEBUG):
    function_name = inspect.stack()[1][3]
    logger = logging.getLogger(function_name)
    logger.setLevel(level)
    logger.addHandler(logging.FileHandler("{0}.log".format(function_name)))
    return logger

def f1():
    f1_logger = function_logger()
    f1_logger.debug("f1 Debug message")
    f1_logger.warning("f1 Warning message")
    f1_logger.critical("f1 Critical message")

def f2():
    f2_logger = function_logger(logging.WARNING)
    f2_logger.debug("f2 Debug message")
    f2_logger.warning("f2 Warning message")
    f2_logger.critical("f2 Critical message")

def main():
    f1()
    f2()
    logging.shutdown()

main()