25/01/20 17:13:03.73 liMV6Cvm.net
u, vを実関数として
exp(ix) = u(x) + iv(x)
とおく
exp(ix + iy) = u(x + y) + iv(x + y)
一方、指数法則から
exp(ix + iy)
= exp(ix)exp(iy)
= (u(x) + iv(x))(u(y) + iv(y))
= (u(x)u(y) - v(x)v(y)) + i(u(x)v(y) + v(x)u(y))
25/01/20 17:13:03.73 liMV6Cvm.net
u, vを実関数として
exp(ix) = u(x) + iv(x)
とおく
exp(ix + iy) = u(x + y) + iv(x + y)
一方、指数法則から
exp(ix + iy)
= exp(ix)exp(iy)
= (u(x) + iv(x))(u(y) + iv(y))
= (u(x)u(y) - v(x)v(y)) + i(u(x)v(y) + v(x)u(y))