2 citations · 2 across the 12 of their papers we have counts for
12 papers
On the Zeros of Certain Entire Functions
Ruiming Zhang
In this work we prove that certain entire -functions have infinitely many nonzero roots , as the moduli …
On Almost Orthogonal Series
Ruiming Zhang
In this work we prove analogues of Bessel inequality and Riesz-Fisher theorem in Hilbert spaces with respect to sequences. We apply our generalized Bessel inequality to the Hilbert…
On Certain Genus 0 Entire Functions
Ruiming Zhang
In this work we prove that an entire function has only negative zeros if and only if its order is strictly less , its root sequence is real-part dominating and there exis…
On Positivities of Certain q-Special Functions
Ruiming Zhang
In this work we shall apply the Bochner's theorem to prove certain combinations of Euler's q-exponentials are positive definite functions. Then we apply this positivity to prove cu…
Asymptotics of Certain q-Series
Ruiming Zhang
In this work we study complete asymptotic expansions for the q-series and in the sc…
On Uniform Approximations of Normal Distributions By Jacobi Theta Functions
Ruiming Zhang
In this short note we study uniform approximations to the normal distributions by Jacobi theta functions. We shall show that scaled theta functions approach to a normal distributio…