# Jackson logarithm of delta exponential

From timescalewiki

## Theorem

The following formula holds: $$\log_{\mathbb{T}} e_p(t,s) = p(t),$$ where $\log_{\mathbb{T}}$ denotes the Jackson logarithm and $e_p$ denotes the delta exponential.

## Proof

## References

- Billy Jackson:
*The time scale logarithm*(2008)... (previous)... (next): $(1.2)$