Difference between revisions of "Jackson logarithm of a product"

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(Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. The following formula holds: $$\log_{\mathbb{T}}(f(t)g(t))=\log_{\mathbb{T}} f(t) \oplus \log_{\mathbb{T}} g(t),$$ where $\lo...")
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Revision as of 17:39, 11 February 2017

Theorem

Let $\mathbb{T}$ be a time scale. The following formula holds: $$\log_{\mathbb{T}}(f(t)g(t))=\log_{\mathbb{T}} f(t) \oplus \log_{\mathbb{T}} g(t),$$ where $\log_{\mathbb{T}}$ denotes the Jackson logarithm and $\oplus$ denotes forward circle plus.

Proof

References