Log-concavity of rows of Pascal type triangles

Autor:	Foldes, Stephan, Major, Laszlo
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics Primary 05A15 40A05 Secondary 11B83
Druh dokumentu:	Working Paper
Popis:	Menon's proof of the preservation of log-concavity of sequences under convolution becomes simpler when adapted to 2-sided infinite sequences. Under assumption of log-concavity of two 2-sided infinite sequences, the existence of the convolution is characterised by a convergence criterion. Preservation of log-concavity under convolution yields a method of establishing the log-concavity of rows of a large class of Pascal type triangles, including a weighted generalization of the Delannoy triangle. This method is also compared with known techniques of proving log-concavity. Comment: Added references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.04126 Zobrazit plný text záznamu View this record from Arxiv