Resumen de On the zeros of certain polynomials and entire functions

Pablo A. Panzone

• 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.