Meromorphic functions of infinite order in the angular domain

• Autorzy: Jun-Fan Chen
• Języki publikacji: EN

Abstrakty

EN

We investigate the value distribution of meromorphic functions in the angular domain. In particular, we show a close relationship between radially distributed values and Borel directions of transcendental meromorphic functions of infinite order in some angular domains.

Słowa kluczowe

EN

Meromorphic function; Infinite order; Borel direction; Radial distribution; Angular domain

Kategorie tematyczne

• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 1103-1112

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Jun-Fan Chen

• Fujian Normal University

Bibliografia

• [1] Chen S.-J., Lin W.-C., Chen J.-F., On the growth of meromorphic functions with a radially distributed value, Indian J. Pure Appl. Math., 2011, 42(1), 53–70 http://dx.doi.org/10.1007/s13226-011-0004-x
• [2] Chuang C., Sur les fonctions-types, Sci. Sinica, 1961, 10, 171–181
• [3] Fang M., Zalcman L., On the value distribution of f + a(f′)n, Sci. China Ser. A, 2008, 51(7), 1196–1202 http://dx.doi.org/10.1007/s11425-008-0022-2
• [4] Goldberg A.A., Ostrovskii I.V., The Distribution of Values of Meromorphic Functions, Nauka, Moscow, 1970 (in Russian)
• [5] Hayman W.K., Picard values of meromorphic functions and their derivatives, Ann. of Math., 1959, 70(1), 9–42 http://dx.doi.org/10.2307/1969890
• [6] Hayman W.K., Meromorphic Functions, Oxford Math. Monogr., Clarendon Press, Oxford, 1964
• [7] Hiong K.L., Sur les fonctions entières et les fonctions méromorphes d’ordre infini, J. Math. Pures Appl., 1935, 14, 233–308
• [8] Nevanlinna R., Über die Eigenschaften meromorpher Funktionen in einem Winkelraum, Acta Societatis Scientiarum Fennicae, 1925, 50, #12
• [9] Valiron G., Sur les directions de Borel des fonctions méromorphes d’ordre infini, C. R. Acad. Sci. Paris Sér. I Math., 1938, 206, 575–577
• [10] Yang C.-C., Yi H.-X., Uniqueness Theory of Meromorphic Functions, Math. Appl., 557, Kluwer, Dordrecht, 2003
• [11] Yang L., Some recent results and problems in the theory of value distribution, In: Proceedings Symposium on Value Distribution Theory in Several Complex Variables, Notre Dame, April 28–29, 1990, Notre Dame Math. Lectures, 12, University of Notre Dame, Notre Dame, 1992, 157–171
• [12] Yang L., Value Distribution Theory, Springer, Berlin, 1993
• [13] Yang L., Yang C.C., Angular distribution of values of ff′, Sci. China Ser. A, 1994, 37(3), 284–294
• [14] Ye Y.S., A Picard type theorem and Bloch law, Chinese Ann. Math. Ser. B, 1994, 15(1), 75–80
• [15] Zheng J., On transcendental meromorphic functions with radially distributed values, Sci. China Ser. A, 2004, 47(3), 401–416 http://dx.doi.org/10.1360/02ys0210
• [16] Zhuang Q.-T., Hu Z.-J., Common Borel directions of a meromorphic function of infinite order and its differential polynomial, Chinese Sci. Bull., 1992, 37(7), 541–547

Identyfikatory

DOI

10.2478/s11533-012-0014-x