Linear Transformations Preserving the Strong $q$-log-convexity of Polynomials

نویسندگان

  • Bao-Xuan Zhu
  • Hua Sun
چکیده

In this paper, we give a sufficient condition for the linear transformation preserving the strong q-log-convexity. As applications, we get some linear transformations (for instance, Morgan-Voyce transformation, binomial transformation, Narayana transformations of two kinds) preserving the strong q-log-convexity. In addition, our results not only extend some known results, but also imply the strong q-logconvexity of some sequences of polynomials.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2015