Asymptotics of partition functions in a fermionic matrix model and of related q‐polynomials

@article{Dai2018AsymptoticsOP,
  title={Asymptotics of partition functions in a fermionic matrix model and of related q‐polynomials},
  author={Dan Dai and Mourad E. H. Ismail and Xiang-Sheng Wang},
  journal={Studies in Applied Mathematics},
  year={2018},
  volume={142},
  pages={105 - 91}
}
In this paper, we study asymptotics of the thermal partition function of a model of quantum mechanical fermions with matrix‐like index structure and quartic interactions. This partition function is given explicitly by a Wronskian of the Stieltjes‐Wigert polynomials. Our asymptotic results involve the theta function and its derivatives. We also develop a new asymptotic method for general q‐polynomials. 
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