Linear transformations preserving log-convexity

被引：0
|
作者：
Liu, Lily L. [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
ARS COMBINATORIA | 2011年 / 100卷
关键词：
Log-convexity; Log-concavity; q-Log-convexity; Linear transformations; Stirling numbers; Lah numbers; Whitney numbers; Dowling lattice; WHITNEY NUMBERS; CONJECTURE; SEQUENCES; PROOF;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study linear transformations preserving log-convexity, when the triangular array satisfies some ordinary convolution. As applications, we show that the Stirling transformations of two kinds, the Lah transformation, the generalized Stirling transformation of the second kind and the Dowling transformations of two kinds preserve the log-convexity.
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页码：473 / 483
页数：11
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