Now showing items 1-4 of 4

    • A Polynomial Blossom for the Askey–Wilson Operator 

      Simeonov, Plamen; Goldman, Ron (2018)
      We introduce a blossoming procedure for polynomials related to the Askey–Wilson operator. This new blossom is symmetric, multiaffine, and reduces to the complex representation of the polynomial on a certain diagonal. This ...
    • q-Blossoming for analytic functions 

      Goldman, Ron; Simeonov, Plamen (2018)
      We construct aᅠq-analog of the blossom for analytic functions, the analyticᅠq-blossom. Thisᅠq-analog also extends the notion ofᅠq-blossoming from polynomials to analytic functions. We then apply this analyticᅠq-blossom to ...
    • Strong $\mu$-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity 

      Shen, Li-Yong; Goldman, Ron (2017)
      We investigate conditions under which the resultant of a $\mu$-basis for a rational tensor product surface is the implicit equation of the surface without any extraneous factors. In this case, we also derive a formula for ...
    • Syzygies for translational surfaces 

      Wang, Haohao; Goldman, Ron (2018)
      A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating ...