Browsing OSU Dissertations by Subject "random polynomials"

Now showing items 1-2 of 2

    • Zeros of Random Orthogonal Polynomials 

      Yeager, Aaron Michael (2019-05-01)
      Let $\{f_j\}$ be a sequence of orthonormal polynomials where the orthogonality relation is satisfied on either the real line (OPRL) or on the unit circle (OPUC). We study zero distribution of random linear combinations of the form

    • Zeros of random trigonometric polynomials with dependent coefficients 

      Pirhadi, Ali (2021-05)
      It is well known that the expected number of real zeros of a random cosine polynomial (of degree $ n $)\begin{equation*} V_n(x) = \sum_ {j=0} ^{n} a_j \cos (j x) , \quad x \in (0,2\pi) , \end{equation*} where the coefficients ...