Khang Tran
Department of Mathematics
California State University, Fresno
5245 North Backer Avenue M/S PB108 Fresno, CA 93740
Contact
Office PB 341
Phone (559) 278-4904
Email khangt@csufresno.edu
Education
   PhD in Mathematics, University of Illinois at Urbana-Champaign
   BS in Mathematics and Computer Science, Truman State University
 

 

Research Interest

Complex Analysis, Analytic number theory, discriminants and q-discriminants, root distribution of polynomials

 

Publications

  1. Tran, K., Zumba, A. Zeros of polynomials with four-term recurrence and linear coefficients. Ramanujan J (2020). https://doi.org/10.1007/s11139-020-00263-0.
  2. T. Forgacs, K. Tran, Hyperbolic polynomials and linear-type generating functions, J. Math. Anal. Appl. Volume 488, Issue 2, 15 August 2020.
  3. K. Tran, A. Zumba, Zeros of polynomials with four-term recurrence. Involve, a Journal of Mathematics Vol. 11 (2018), No. 3, 501–518.
  4. T. Forgacs, K. Tran, Zeros of polynomials generated by a rational function with a hyperbolic-type denominator. Constr Approx (2017) 46:617–643.
  5. T. Forgacs, K. Tran, Polynomials with rational generating functions and real zeros, J. Math. Anal. Appl. 443 (2016), 631–651.
  6. K. Tran, The root distribution of polynomials with a three-term recurrence, J. Math. Anal. Appl. 421 (2015), 878–892.
  7. K. Tran, Connections between discriminants and the root distribution of polynomials with rational generating function, J. Math. Anal. Appl. 410 (2014), 330–340.
  8. K. Tran, A. Zaharescu, Pair correlation of roots of rational functions with rational generating functions and quadratic denominators, Ramanujan J. 31 (2013), no. 1, 129–145.
  9. K. Tran, Discriminants of Polynomials Related to Chebyshev Polynomials: The "Mutt and Jeff" Syndrome, J. Math. Anal. Appl. 383 (2011), 120–129.
  10. A. Bostan, B. Salvy, K. Tran, Generating functions of Chebyshev-like polynomials, Int. J. Number Theory 6 (2010), no. 7, 1659–1667.
  11. M. Erickson, S. Fernando, K. Tran, Enumerating rook and queen paths, Bull. Inst. Combin. Appl. 60 (2010), 37–48.
  12. K. Tran, Discriminants of Chebyshev-like polynomials and their generating functions, Proc. Amer. Math. Soc. 137 (2009), no. 10, 3259–3269.

 

Preprints

  1. S. Al Hamdani, K. Tran, Zeros of a binomial combination of Chebyshev polynomials
  2. K. Tran, M. Zhang, Linear combinations of polynomials with three-term recurrence
  3. J. Luong, K. Tran, Zeros of a table of polynomials satisfying a four-term contiguous relation
  4. G. Cheon, T. Forgacs, H. Kim, K. Tran, On combinatorial properties and the zero distribution of certain Sheffer sequences