On the Ritt order of a certain class of functions.
Parvatham, R., Thangamani, J. (1983)
International Journal of Mathematics and Mathematical Sciences
Jongsu Kim (1993)
Mathematische Annalen
Pyrih, Pavel (1999)
Serdica Mathematical Journal
∗Research supported by the grant No. GAUK 186/96 of Charles University.We introduce the helm topology in the plane. We show that (assuming the helm local injectivity and the Euclidean continuity) each mapping which is oriented at all points of a helm domain U is oriented at U.
Goluzina, E.G. (2004)
Zapiski Nauchnykh Seminarov POMI
Komori, Yohei, Parkkonen, Jouni (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
D.-C. Chang, C.A. Berenstein, B.Q. Li (1996)
Forum mathematicum
Chen, Keying (2001)
International Journal of Mathematics and Mathematical Sciences
Di Biase, Fausto, Stokolos, Alexander, Svensson, Olof, Weiss, Tomasz (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
Bini, Dario A., Daddi, Francesco, Gemignani, Luca (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Richard Delanghe (1972)
Mathematische Annalen
Walter Bergweiler, Alexander Eremenko (1995)
Revista Matemática Iberoamericana
Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f, except at most 2ρ of them, is a limit point of critical values of f.We give several applications of this theorem. For example we prove that if f is a transcendental meromorphic function then f'fn with n ≥ 1 takes every finite non-zero value infinitely often. This proves a conjecture of Hayman. The proof makes use of the iteration...
Lawrence A. Harris (1977)
Monatshefte für Mathematik
A. Fernández Arias, F. Rodríguez Mateos (1994)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
G.S. Srivastava, Arvind Kumar (1993)
Publications de l'Institut Mathématique
Constantin Costara (2005)
Studia Mathematica
We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us to give a...
Jörg Winkler, Sakari Toppila (1982)
Mathematische Zeitschrift
Sakari Toppila (1985)
Manuscripta mathematica
Yafei Ou (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of , . We show that this space is stable by convolution product, thus is a resurgent algebra.
Nunokawa, Mamoru, Owa, Shigeyoshi, Ikeda, Akira (2001)
International Journal of Mathematics and Mathematical Sciences
E. Bujalance (1985)
Mathematische Annalen