Distribution Functions of Finite-Temperature Ideal Gases Described by Parastatistics and Analysis Using the Two-Point Summation Method

This is a preprint of a theoretical study in statistical mechanics.

We propose a generalized statistical framework based on para-statistics,
introducing a modified grand partition function and generalized distribution
functions. The formulation systematically extends conventional Bose–Einstein
and Fermi–Dirac statistics.

This work is independent of the authors’ previously published studies and
presents a new theoretical framework.

This preprint is intended for submission to arXiv in the category of
statistical mechanics.