The new inversion formula of the Laplace transform is considered. In the formula we use only the positive values ofx SiCoLT(x) = c S(x), L(S(x)) = T(x), c = const., x 〉 O,from the real axis. Si is the sinus...The new inversion formula of the Laplace transform is considered. In the formula we use only the positive values ofx SiCoLT(x) = c S(x), L(S(x)) = T(x), c = const., x 〉 O,from the real axis. Si is the sinus transform, Co is the cosines transform of Fourier and L is the Laplace transform.展开更多
文摘The new inversion formula of the Laplace transform is considered. In the formula we use only the positive values ofx SiCoLT(x) = c S(x), L(S(x)) = T(x), c = const., x 〉 O,from the real axis. Si is the sinus transform, Co is the cosines transform of Fourier and L is the Laplace transform.