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cond-mat.stat-mech2024★ 1 cited
A new special function related to a discrete Gauss-Poisson distribution and some physics of the cell model with Curie-Weiss interactions
O. A. Dobush, M. A. Shpot
Inspired by previous studies in statistical physics [see, in particular, Kozitsky at al., A phase transition in a Curie-Weiss system with binary interactions, Condens. Matter Phys.…
math.CA2024
A Ramanujan's hypergeometric transformation formula, its validity range and implications
M. A. Shpot
We extend the validity range of a Ramanujan's hypergeometric transformation formula proved by Berndt, Bhargava and Garvan, Trans. Amer. Math. Soc. 347, 4163 (1995) and study its im…