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math.CA2023
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…
math.CA2023★ 1 cited
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…
math.CA2023
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…