Asymptotic behavior of logarithmic derivative of entire function of completely regular growth

Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$

“…The asymptotic behavior of entire and meromorphic functions of positive order of completely regular growth (for details, see [2,3,5,11]) in the metric of L p [0, 2π] was described in [6,11,12,13]. Similar results for entire functions of zero order whose zero-counting functions are slowly increasing were obtained in [1].…”

Lebesgue measure of escaping sets of entire functions of completely regular growth

“…In order to apply Theorem 1.4 to a function f we need estimates for the real part of zf ′ (z)/f (z). For functions f of completely regular growth, such estimates were obtained by Gol'dberg and Korenkov [14,15] as well as Gol'dberg, Sodin and Strochik [17]; see Section 5 for a discussion of their results. However, for our applications these results are not sufficient as we need explicit estimates for the error terms arising there.…”

Interpolation of functions from generalized Paley–Wiener spaces

“…The statement of Theorem 3 can be obtained from a more general result in [4] which relates to entire functions of completely regular growth. The proof we give in our case is much simpler and direct than one in [4].…”