4 papers
Positivity of arbitrary-order P-recursive sequences with a unique dominant root
Zhongjie Li
We establish a sufficient condition for the ultimate positivity of P-recursive sequences of arbitrary order with a unique dominant root. By additionally verifying finitely many ini…
Inequalities related to the coefficients of the -function
Zhongjie Li
In recent years, the log-concavity or log-convexity of combinatorial sequences and their root sequences, higher order Tur{á}n inequalities, and Laguerre inequalities of order two…
Asymptotic normality of coefficients of P-recursive polynomial sequences
Zhongjie Li
In recent years, the asymptotic normality of some famous combinatorial sequences has been the subject of extensive study. However, the methods used to prove the asymptotic normalit…
Inequalities associated with the root sequences of P-recursive sequences
Zhongjie Li
The Tur{á}n inequalities and the Laguerre inequalities are closely related to the Laguerre-Pólya class and the Riemann hypothesis. These inequalities have been extensively studie…