動揺問題速度ポテンシャルの積分表示と多重極展開(級数表示)との関係 : 2次元(前進速度あり)と3次元(前進速度なし)の場合

抄録

This paper gives the mathematical proof of the equality of the integral representations and the multipole expansions (series representations) of the velocity potentials in ship motion theory in the cases of two-dimensional (with advance speed) and three-dimensional (without advance speed) problems. The coefficients of the series are represented in terms of the source distributions in the integral representation.