Work

Partial Fraction Expansions and Zeros of Hankel Transforms

Year: 2026

Type: article

Abstract: It is proved by the method of partial fraction expansion and Sturm’s oscillation theory that the zeros of certain Hankel transforms are all real, simple and distributed one by one between consecutive zeros of Bessel functions. As an application, we obtain a list of sufficient conditions as well as necessary conditions on parameters for which $${}_1F_2$$ hypergeometric functions belong to the Laguerre-Pólya class.

Source: Constructive Approximation

DOI: 10.1007/s00365-026-09737-8

Authors: Yong-Kum Cho, Seok-Young Chung, Young Woong Park

Institutions: Chung-Ang University, Michigan State University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: National Research Foundation, Chung-Ang University, National Research Foundation of Korea, Ministry of Science and ICT, South Korea