The Tsallis–Laplace transform

• The qq-Laplace transform is introduced.
• Its main properties are analyzed.
• The qq-partition function is derived from it.

We introduce here the qq-Laplace transform as a new weapon in Tsallis’ arsenal, discussing its main properties and analyzing some examples. The qq-Gaussian instance receives special consideration. Also, we derive the qq-partition function from the qq-Laplace transform.