4 papers
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…
Barron Space for Graph Convolution Neural Networks
Seok-Young Chung, Qiyu Sun
Graph convolutional neural network (GCNN) operates on graph domain and it has achieved a superior performance to accomplish a wide range of tasks. In this paper, we introduce a Bar…
The Newton Polyhedron and positivity of hypergeometric functions
Yong-Kum Cho, Seok-Young Chung
As for the hypergeometric function of the form \begin{equation*} {}_2F_3\left[\begin{array}{c} a_1, a_2\\ b_1, b_2, b_3\end{array}\biggr| -x^2\right]\qquad(x>0), \end{equ…