Preserving Log-Convexity for Generalized Pascal Triangles

Moussa Ahmia, Hacène Belbachir

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.


Keywords


Log-convexity, binomial convolution, generalized Pascal triangle

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