On the zeros of certain polynomials and entire functions

Panzone, Pablo A. ^[1]
1. [1] Universidad Nacional del Sur
  
  Universidad Nacional del Sur
  
  Argentina
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 861-877
Idioma: inglés
DOI: 10.22199/issn.0717-6279-5388
Enlaces
- Texto completo
Resumen
- Entire functions whose coefficients are polynomials having real and negative roots are built from Touchard polynomials. The particular set of polynomials is shown to have purely complex roots, where we show a connection of these polynomials with certain approximations of the Riemann’s zeta function. Also a certain class of Fourier transforms is shown to have only real roots.