Theory and Modern Applications
Table 1 A list of some functions and their annihilators
From: Theory of nth-order linear general quantum difference equations
Functions | Annihilator |
|---|---|
1 | \(D_{\beta }\) |
t | \(D_{\beta }^{2}\) |
\(e_{\rho,\beta }(t)\) | \(D_{\beta }-\rho \mathcal{I}\) |
\(\cos _{\rho,\beta }(t)\) | \(D_{\beta }^{2}+\rho ^{2}\mathcal{I}\) |
\(\sin _{\rho,\beta }(t)\) | \(D_{\beta }^{2}+\rho ^{2}\mathcal{I}\) |