Author:
Ahmia Moussa,Ramírez José L.
Abstract
AbstractIn this paper, we prove that the sequences of the Stirling numbers of the first and second kind with higher level are both Pólya frequency and log-concave. Then, we show that some polynomials related to the above Stirling numbers with higher level are q-log-convex or strongly q-log-convex. Furthermore, we establish that the linear transformation related to the Stirling numbers of the first kind with level 2 preserves the log-convexity.
Funder
National University of Colombia
Publisher
Springer Science and Business Media LLC
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