INVESTIGADORES
PANZONE Pablo Andres
artículos
Título:
On the zeros of certain polynomials and entire functions
Autor/es:
PABLO ANDRES PANZONE
Revista:
PROYECCIONES
Editorial:
Univ. Catól. Norte
Referencias:
Año: 2023 vol. 42 p. 861 - 877
ISSN:
0716-0917
Resumen:
Entire functions whose coefficients are polynomials having real andnegative roots are built from Touchard polynomials. A particular setof polynomials is shown to have purely complex roots, where we show a connection ofthese polynomials with certain approximations of the Riemann’s zetafunction. Also a certain class of Fourier transforms is shown to haveonly real roots.