2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227754We discuss possible connections between the thermostatistical properties of a gas of the two-parameter deformed bosonic particles called Fibonacci oscillators and the properties of the Tsallis thermostatistics. In this framework, we particularly focus on a comparison of the non-extensive entropy functions expressed by these two generalized theories. We also show that the thermostatistics of the two-parameter deformed bosons can be studied by the formalism of Fibonacci calculus, which generalizes the recently proposed formalism by Lavagno and Narayana Swamy of q-calculus for the one-parameter deformed boson gas. As an application, we briefly summarize some of the recent results on the Bose-Einstein condensation phenomenon for the present two-parameter generalized boson gas.30 pages, 2 figures, accepted on JSTATStatistical MechanicsQuantum GasesHigh Energy Physics - TheoryMathematical Physicstext