4 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Newton diagram of positivity for generalized hypergeometric functions
Yong-Kum Cho, Hera Yun
As for the positivity of generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of…
Schoenberg Representations and Gramian Matrices of Matérn Functions
Yong-Kum Cho, Dohie Kim, Kyungwon Park +1
We represent Matérn functions in terms of Schoenberg's integrals which ensure the positive definiteness and prove the systems of translates of Matérn functions form Riesz sequences…