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Some bounds upon the nonextensivity parameter using the approximate generalized distribution functions

1998; Elsevier BV; Volume: 245; Issue: 1-2 Linguagem: Inglês

10.1016/s0375-9601(98)00378-8

1873-2429

Uǧur Tırnaklı, Fevzi Büyükkılıç, Doğan Demirhan,

Fractional Differential Equations Solutions

In this study, approximate generalized quantal distribution functions and their applications, which appeared in the literature so far, have been summarized. Making use of the generalized Planck radiation law, which have been obtained by the authors of the present manuscript [Physica A240 (1997) 657], some alternative bounds for the nonextensivity parameter $q$ has been estimated. It has been shown that these results are similar to those obtained by Tsallis et al. [Phys. Rev. E52 (1995) 1447] and by Plastino et al. [Phys. Lett. A207 (1995) 42].