Zeros of delta gk

From timescalewiki
Revision as of 20:05, 1 June 2016 by Tom (talk | contribs)
Jump to: navigation, search

Theorem: Let $\mathbb{T}$ be a time scale, let $t,s \in \mathbb{T}$, and let $k$ be a nonnegative integer. Then for all $0 \leq n \leq k-1$, $$g_k(\rho^n(t),t)=0,$$ where $g_n$ denotes the delta gk and $\rho^k$ denotes compositions of the backward jump.

Proof: