5 papers
Computations on Some Hankel Matrices
Ruiming Zhang
In this note, we present the determinant, the inverse and a lower bound for the smallest eigenvalue for some Hankel matrices
Explicit Inversions of Certain Matrices II
Ruiming Zhang
In this note, we apply kernel polynomials to find the explicit inverses for some some Hankel matrices associated with q-orthogonal polynomials.
Explicit Inversions of Certain Matrices I
Ruiming Zhang
In this note, we demonstrate a method to invert some Hankel matrices explicitly by using the kernel polynomials for the related classical orthogonal polynomials.
On Generalized Hilbert Matrices
Ruiming Zhang
In this note, we present a systematic method to explicitly compute the determinants and inverses for some generalized Hilbert matrices associated with orthogonal systems with expli…
On The Chaotic Asymptotics of Ramanujan's Entire Function
Ruiming Zhang
We will use a discrete analogue of the classical \emph{Laplace} method to show that for infinitely many positive integers , the main term of the asymptotic expansions of scaled…