Relationship between delta hk and delta gk

From timescalewiki
Revision as of 01:59, 10 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 the following formula holds: $$h_k(t,s;\mathbb{T})=(-1)^kg_k(s,t;\mathbb{T}),$$ where $h_k$ denotes the delta hk and $g_k$ denotes the delta gk.