CAJ | 학술논문

基于李群的表示理论，首先讨论了欧拉群的表示及其性质；然后，从该群的表示理论出发，分别导出了第一类贝塞尔函数的积分形式和幂级数形式。该研究表明了群方法可以求解对称边界问题的解析波函数，并为用群方法求解电磁场问题创造了条件。
기우리군적표시이론，수선토론료구랍군적표시급기성질；연후，종해군적표시이론출발，분별도출료제일류패새이함수적적분형식화멱급수형식。해연구표명료군방법가이구해대칭변계문제적해석파함수，병위용군방법구해전자장문제창조료조건。
@@@@This paper is from a Lie-group theoretical background, firstly the representation and properties of Euclidean group are discussed; Afterwards integral and power series representations of Bessel functions of the first kind are derived from the representation of Euclidean group. The study shows that analytic wave functions of symmetry boundary condition can be obtained in group approach, which creates conditions for solving electromagnetic problems by group method.