Difference between revisions of "Delta partial derivative of shift along diagonal"
From timescalewiki
(Created page with "==Theorem== If the solution of the shifting problem $\hat{f}$ has partial $\Delta$-derivatives of all orders, then $$\dfrac{\partial^k \hat{f}}{\Delta^k t} (t,t)=f^{\Delt...") |
(No difference)
|
Latest revision as of 14:37, 21 January 2023
Theorem
If the solution of the shifting problem $\hat{f}$ has partial $\Delta$-derivatives of all orders, then $$\dfrac{\partial^k \hat{f}}{\Delta^k t} (t,t)=f^{\Delta^k}(t_0),$$ where $\dfrac{\partial^k}{\Delta^k t}$ denotes a partial delta derivative.
