Two useful integrals involving generalised Marcum Q-function

This reported work focuses on two useful integrals involving the generalised Marcum Q -function, i.e. Q m ( a √ x , b ) and Q m ( a , b √ x ), which usually arise in the performance analysis in the radar and communication societies. Closed-form solutions, in terms of the confluent hypergeometric function, are derived and validated by comparing with A.H. Nuttall's results and simulations.