| Texto completo | |
| Autor(es): |
Dimitrov, Dimitar K.
;
Lun, Yen Chi
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Approximation Theory; v. 305, p. 8-pg., 2024-10-14. |
| Resumo | |
Recently Baricz et al., 2018 and Baricz and Singh 2018 gave two different proofs of the fact that the zeros of the nth derivative of the Bessel function of the first kind J(nu)(x) are all real when nu>n-1. We provide a third alternative proof. The authors of Baricz et al., 2018 conjectured that, for every n is an element of N, the positive zeros of J(nu)((n))(x) are increasing functions of the parameter nu, for nu is an element of(n-1,infinity). We provide two apparently distinct proofs of the conjecture. (AU) | |
| Processo FAPESP: | 21/13340-0 - Tópicos em análise clássica e teoria da aproximação |
| Beneficiário: | Dimitar Kolev Dimitrov |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |