Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On strong tracts of subharmonic functions of infinite lower order

100%

Marchenko I., Szkibiel A.

Annales Polonici Mathematici

2007

tom 92

nr 3

275-284

The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.

On deviations from rational functions of entire functions of finite lower order

100%

Ciechanowicz E., Marchenko I.

Annales Polonici Mathematici

2007

tom 91

nr 2-3

161-177

Let f be a transcendental entire function of finite lower order, and let $q_{ν}$ be rational functions. For 0 < γ < ∞ let B(γ):= πγ/sinπγ if γ ≤ 0.5, B(γ):= πγ if γ > 0.5. We estimate the upper and lower logarithmic density of the set ${r: ∑_{1≤ν≤k} log⁺ max_{||z||=r} |f(z)−q_{ν}(z)|^{−1} < B(γ)T(r,f)}$.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Marchenko I.

1 Ciechanowicz E.

1 Szkibiel A.

2 2007

Wyniki wyszukiwania

On strong tracts of subharmonic functions of infinite lower order

On deviations from rational functions of entire functions of finite lower order