ENTIRE FUNCTION WITH PRESCRIBED INDICATOR

Анотація

For an arbitrary $[\kappa_1,\rho_1]$-trigonometrically convex function an entire function is found having it as the indicator with respect to $r^{l(r)}$, where $l(r)$ is a strong oscillate order, $0<\kappa_1<\kappa \le l(r) \le \rho <\rho_1< \infty$.