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Partial Fraction Expansions and Zeros of Hankel Transforms
- Cho, Yong-Kum;
- Chung, Seok-Young;
- Park, Young Woong
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0초록
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 1F2 hypergeometric functions belong to the Laguerre-Pólya class.
키워드
Bessel functions; Fourier transforms; Hankel transforms; Laguerre-P & oacute; lya class; Partial fraction expansions; Transference principle; BESSEL
- 제목
- Partial Fraction Expansions and Zeros of Hankel Transforms
- 저자
- Cho, Yong-Kum; Chung, Seok-Young; Park, Young Woong
- 발행일
- 2026-02
- 유형
- Article; Early Access