Q-log-convexity from Linear Transformations and Polynomials with Only Real Zeros

  title={Q-log-convexity from Linear Transformations and Polynomials with Only Real Zeros},
  author={B. Zhu},
  journal={Eur. J. Comb.},
  • B. Zhu
  • Published 2018
  • Mathematics, Computer Science
  • Eur. J. Comb.
Abstract In this paper, we mainly study the stability of iterated polynomials and linear transformations preserving the strong q -log-convexity of polynomials. Let [ T n , k ] n , k ≥ 0 be an array of nonnegative numbers. We give some criteria for the linear transformation y n ( q ) = ∑ k = 0 n T n , k x k ( q ) preserving the strong q -log-convexity (resp. log-convexity). As applications, we derive that some linear transformations (for instance, the Stirling transformations of two kinds, the… Expand
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