
We introduce here the q-Laplace transform as a new weapon in Tsallis' arsenal, discussing its main properties and analyzing some examples. The q-Gaussian instance receives special consideration. Also, we derive the q-partition function from the q-Laplace transform.
30 pages, no figures. Title has changed. Text has changed. arXiv admin note: text overlap with arXiv:1112.1985
\(q\)-Laplace transform, q-Laplace transform, One-to-one character, Statistical Mechanics (cond-mat.stat-mech), Laplace transform, one-to-one character, Física, FOS: Physical sciences, Foundations of equilibrium statistical mechanics, Mathematical Physics (math-ph), Complex-plane generalization, complex-plane generalization, https://purl.org/becyt/ford/1.3, Q-Laplace transform, tempered ultradistributions, Tempered ultradistributions, https://purl.org/becyt/ford/1, Mathematical Physics, Condensed Matter - Statistical Mechanics
\(q\)-Laplace transform, q-Laplace transform, One-to-one character, Statistical Mechanics (cond-mat.stat-mech), Laplace transform, one-to-one character, Física, FOS: Physical sciences, Foundations of equilibrium statistical mechanics, Mathematical Physics (math-ph), Complex-plane generalization, complex-plane generalization, https://purl.org/becyt/ford/1.3, Q-Laplace transform, tempered ultradistributions, Tempered ultradistributions, https://purl.org/becyt/ford/1, Mathematical Physics, Condensed Matter - Statistical Mechanics
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