Preserving Log-Convexity for Generalized Pascal Triangles
Keywords:
Log-convexity, binomial convolution, generalized Pascal triangle
Abstract
We establish the preserving log-convexity property for the generalized Pascal triangles. It is an extension of a result of H. Davenport and G. Pólya "On the product of two power series", who proved that the binomial convolution of two log-convex sequences is log-convex.