Preserving Log-Convexity for Generalized Pascal Triangles

  • Moussa Ahmia
  • Hacène Belbachir
DOI: https://doi.org/10.37236/2255
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.

Published
2012-05-04
How to Cite
Ahmia, M., & Belbachir, H. (2012). Preserving Log-Convexity for Generalized Pascal Triangles. The Electronic Journal of Combinatorics, 19(2), P16. https://doi.org/10.37236/2255
Issue
Volume 19, Issue 2 (2012)
Article Number
P16