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Displaying 561 – 580 of 1302

On Bloch functions and gap series.

Daniel Girela (1991)

Publicacions Matemàtiques

Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general results...

On Bloch functions and normal functions.

J. Clunie, J. Anderson, C. Pommerenke (1974)

Journal für die reine und angewandte Mathematik

On BMO-type characteristics for one class of holomorphic functions in a disk.

Shamoyan, R.F. (2003)

Sibirskij Matematicheskij Zhurnal

On boundary cluster sets.

Mikio Niimura (1979)

Journal für die reine und angewandte Mathematik

On certain meromorphic functions with positive coefficients.

Kim, Yong Chang, Lee, Sang Hun, Owa, Shigeyoshi (1993)

International Journal of Mathematics and Mathematical Sciences

On cluster sets of arbitrary functions

L. Zajíček (1974)

Fundamenta Mathematicae

On composition of meromorphic functions in several complex variables.

B.Q. Li, Der-Chan Chang, C.-C. Yang (1995)

Forum mathematicum

On Conjugate pi-variation and the Coefficients of Power Series

J.L. Geluk (1989)

Publications de l'Institut Mathématique

On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II

Núria Fagella, Xavier Jarque, Jordi Taixés (2011)

Fundamenta Mathematicae

Following the attracting and preperiodic cases, in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.

On Cramér's theorem for general Euler products with functional equation.

Serge Lang, Jay Jorgenson (1993)

Mathematische Annalen

On Deficiencies of Differential Polynomials, II.

Chung-Chun Yang (1972)

Mathematische Zeitschrift

On deficiencies of small functions for Painlevé transcendents of the fourth kind.

Shimomura, Shun (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

On Deficient Values of Meromorphic Functions Satisfying a Certain Functional Equation II

R. GOLDSTEIN (1973)

Aequationes mathematicae

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

E. Ciechanowicz, I. I. Marchenko (2007)

Annales Polonici Mathematici

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 $r : \sum_{1 \leq ν \leq k} l o g ⁺ m a x_{| | z | | = r} {| f (z) - q_{ν} (z) |}^{- 1} < B (γ) T (r, f)$ .

Currently displaying 561 – 580 of 1302

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