1 citations · 2 across the 8 of their papers we have counts for
8 papers
Shift-invariant spaces on finite undirected graphs
Yang Chen, Seok-Young Chung, Qiyu Sun
Shift-invariant spaces (SISs) on the real line provide a natural framework for representing, analyzing and processing signals with inherent shift-invariant structure. In this paper…
Uniform bounds, zero separation and monotonicity for the regular Coulomb wave functions
Seok-Young Chung
This paper begins by deriving the uniform bounds for the regular Coulomb wave function and its derivative . We then examine detailed zero configurations o…
Complex zeros of Bessel function derivatives and associated orthogonal polynomials
Seok-Young Chung, Sujin Lee, Young Woong Park
We introduce a sequence of orthogonal polynomials whose associated moments are the Rayleigh-type sums, involving the zeros of the Bessel derivative of order . We also dis…
Positivity of oscillatory integrals and Hankel transforms
Yong-Kum Cho, Seok-Young Chung, Young Woong Park
In consideration of the integral transform whose kernel arises as an oscillatory solution of certain second-order linear differential equation, its positivity is investigated on th…
Partial fraction expansions and zeros of Hankel transforms
Yong-Kum Cho, Seok-Young Chung, Young Woong Park
It is proved by the method of partial fraction expansions and Sturm's oscillation theory that the zeros of certain Hankel transforms are all real and distributed regularly between…
On the generalized interlacing property for the zeros of Bessel functions
Seok-Young Chung, Sujin Lee, Young Woong Park
This paper investigates a generalized interlacing property between Bessel functions, particularly and , where the difference exceeds . This interlacing phenom…
An extension of positivity for integrals of Bessel functions and Buhmann's radial basis functions
Yong-Kum Cho, Seok-Young Chung, Hera Yun
As to the Bessel integrals of type \begin{equation*} \int_0^x \left(x^μ-t^μ\right)^λt^αJ_β(t)dt\qquad(x>0), \end{equation*} we improve known positivity results by making use of new…
Rational extension of Newton diagram for the positivity of hypergeometric functions and Askey-Szegö problem
Yong-Kum Cho, Seok-Young Chung, Hera Yun
We present a rational extension of Newton diagram for the positivity of generalized hypergeometric functions. As an application, we give upper and lower bounds for the tr…