Padé approximant approach to singular properties of quantum gases: the ideal cases

Yuan-Hong Tian(田远鸿),Wen-Du Li(李文都),Yao Shen(沈尧),Wu-Sheng Dai(戴伍圣)

Figure 4. Comparison of the Padé approximants, ${\left[2/2\right]}_{{f}_{3/2}}\left(z\right)$ and ${\left[3/3\right]}_{{f}_{3/2}}\left(z\right)$, with the virial expansion and the exact result. Though the Padé approximant is constructed from the virial expansion, it apples to z > 1 where the virial expansion is invalid.