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On the positivity and zeros of Lommel functions: Hyperbolic extension and interlacing
- Cho, Yong-Kum;
- Chung, Seok-Young
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5초록
We obtain for the Lommel functions of the first kind a hyperbolic region of positivity, thereby extending earlier results of R.G. Cooke and J. Steinig. In addition, we prove that the zeros of Lommel functions for a large class of parameters are interlaced with those of Bessel functions. (C) 2018 Elsevier Inc. All rights reserved.
키워드
Bessel function; (1) F-2 hypergeometric series; Interlace; Lommel function; Positivity; Wronskian; BESSEL-FUNCTIONS
- 제목
- On the positivity and zeros of Lommel functions: Hyperbolic extension and interlacing
- 저자
- Cho, Yong-Kum; Chung, Seok-Young
- 발행일
- 2019-02
- 유형
- Article
- 권
- 470
- 호
- 2
- 페이지
- 898 ~ 910