Publications

• + Stable regions of Turán expressions (with M. Chasse and M. Visontai), Journal of Approximation Theory, (192) 2015, 144-155. - Stable regions of Turán expressions (with M. Chasse and M. Visontai), Journal of Approximation Theory, (192) 2015, 144-155.

  • Link:
  • http://www.sciencedirect.com/science/article/pii/S0021904514002214
  • Cited in:
    • L. Buck, K. Emmerich, T. Forgacs, Sufficient Conditions for a linear operator on ℝ[x] to be monotone, arXiv preprint, arXiv:1608.05756, 2016
    • R. D. Bates, Hyperbolicity Preserving Differential Operators and Classifications of Orthogonal Multiplier Sequences, Ph.D. Dissertation, University of Hawaii at Manoa, 2015.
• + Non-linear coefficient-wise stability and hyperbolicity preserving transformations, Ph.D. Dissertation, University of Hawaii at Manoa, 2012. - Non-linear coefficient-wise stability and hyperbolicity preserving transformations, Ph.D. Dissertation, University of Hawaii at Manoa, 2012.

  • Link:
  • http://scholarspace.manoa.hawaii.edu/handle/10125/29454
  • Cited in:
    • J.C. Park, Bell multiplier sequences, Master's Thesis, California State University, Fresno, 2016.
    • R. D. Bates, Hyperbolicity Preserving Differential Operators and Classifications of Orthogonal Multiplier Sequences, Ph.D. Dissertation, University of Hawaii at Manoa, 2015.
    • L. A. Medina, A. Straub, On multiple and infinite log-concavity, arXiv preprint, arXiv:1405.1765, 2014
• + A new class of non-linear stability preserving operators - A new class of non-linear stability preserving operators

  • Link:
  • http://arxiv.org/ct?url=http%3A%2F%2Fdx.doi.org%2F10%252E1080%2F17476933%252E2011%252E586696&v=10fb73f9">
  • Cited in:
    • P. Brändén, M. Chasse, Infinite log-concavity for polynomial Pólya frequencey functions, Proc. Amer. Math. Soc., 2015.
    • R. Yoshida, Linear and non-linear operators, and the distribution of zeros of entire functions , Ph.D. Dissertation, University of Hawaii at Manoa, 2013.
    • D. B. Karp, Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials, J. Math. Sciences, (193) 1, 106-114.
    • L. Grabarek, Non-linear coefficient-wise stability and hyperbolicity preserving transformations , Ph.D. Dissertation, University of Hawaii at Manoa, 2012.
    • G. Csordas, Iterated Turán inequalities and a conjectur of P. Brändén, Notions of Positivity and Geometry of Polynomials, Springer, 2011, 102-113.

Talks and Conferences

• AMS Special Session on the Distribution and Location of Zeros of Entire Funtions, 2016 Joint Mathematics Meetings
  Seattle, WA., Jan. 9, 2016.
  ( Abstract )( Slides )
• Stability, hyperbolicity, and zero localization of functions
  Palo Alto, CA -- December 5-9, 2011.
  
• 18th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
  Macau, China -- August 13-17, 2010
  A New Class of Non-Linear Stability Preserving Operators (.pdf) [569 KB]
• Achievement Rewards for College Scientists
  UH Manoa -- April 23, 2010
  Riemann Hypothesis and the Laguerre-Polya Class (.pdf) [485 KB]