Preserving Log-Convexity for Generalized Pascal Triangles

Author:

Ahmia Moussa,Belbachir Hacène

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.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A generalization of the hyperbolic Pascal pyramid;Indian Journal of Pure and Applied Mathematics;2023-09-25

2. Some Positivities in Stirling Arrays with Higher Level;Mediterranean Journal of Mathematics;2023-08-30

3. Log-concave sequences of bi$$^s$$nomial coefficients with their analogs and symmetric functions;Indian Journal of Pure and Applied Mathematics;2021-06-14

4. Two-Motzkin-Like Numbers and Stieltjes Moment Sequences;Mediterranean Journal of Mathematics;2021-02-21

5. Preserving log-concavity for p,q-binomial coefficient;Discrete Mathematics, Algorithms and Applications;2019-04

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