Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight
Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight
This paper studies the Hankel determinants generated by a discontinuous Gaussian weight with one and two jumps. It is an extension of Chen and Pruessner \cite{Chen2005}, in which they studied the discontinuous Gaussian weight with a single jump. By using the ladder operator approach, we obtain a series of difference …