论文标题
与正交多项式相关的$ q $ discrete方程的独特积极解决方案
Unique positive solutions to $q$-discrete equations associated with orthogonal polynomials
论文作者
论文摘要
Boelen等。 （2010年）推断出了正交多项式的复发系数满足的$ q $ - discretepainlevé方程，并推测该方程具有独特的阳性解。我们证明了他们的猜想，并讨论了该地区的相关工作，突出了潜在的统一方法。
Boelen et al. (2010) deduced a $q$-discrete Painlevé equation satisfied by the recurrence coefficients of orthogonal polynomials and conjectured that the equation had a unique positive solution. We prove their conjecture and discuss related work in the area, highlighting a potentially unifying methodology.
