  Mathematical functions, which often appear in mathematical analysis, are
referred to as special functions and have been studied over hundreds of years.
Many books and dictionaries are available that describe their properties and
serve as a foundation of current science. In this paper, we find a new integral
representation of the Whittaker function of the first kind and show a relevant
summation formula for Kummer's confluent hypergeometric functions. We also
perform the specifications of our identities to link to known and new results.
