3 papers
math.CA2024
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…
math.CA2018
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…
math.CA2018
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…