no. 1
Complex analysis
Two results on φ-normal functions
[Deux résultats sur les fonctions φ-normales]

Présenté par : the Editorial Board

Xu, Yan1 ; Qiu, Huiling2
1 Institute of Mathematics, School of Mathematics, Nanjing Normal University, Nanjing 210023, PR China
2 College of Mathematics and Statistics, Nanjing Audit University, Nanjing 210029, PR China
Comptes Rendus. Mathématique, Tome 352 (2014) no. 1, pp. 21-25.

Dans cette note, nous obtenons deux résultats sur les fonctions φ-normales, qui étendent des résultats connexes dus à Lappan et Aulaskari–Rättyä.

In this paper, we obtain two results on φ-normal functions, which extend some related results due to Lappan, and Aulaskari–Rättyä.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.11.010
Xu, Yan 1 ; Qiu, Huiling 2

1 Institute of Mathematics, School of Mathematics, Nanjing Normal University, Nanjing 210023, PR China
2 College of Mathematics and Statistics, Nanjing Audit University, Nanjing 210029, PR China 
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Xu, Yan; Qiu, Huiling. Two results on φ-normal functions. Comptes Rendus. Mathématique, Tome 352 (2014) no. 1, pp. 21-25. doi : 10.1016/j.crma.2013.11.010. http://www.numdam.org/articles/10.1016/j.crma.2013.11.010/

[1] Aulaskari, R.; Makhmutov, S.; Rättyä, J. Results on meromorphic φ-normal functions, Complex Var. Elliptic Equ., Volume 54 (2009) no. 9, pp. 855-863

[2] Aulaskari, R.; Rättyä, J. Properties of meromorphic φ-normal functions, Michigan Math. J., Volume 60 (2011), pp. 93-111

[3] Hayman, W.K. Meromorphic Functions, Clarendon Press, Oxford, 1964

[4] Lappan, P. A criterion for a meromorphic function to be normal, Comment. Math. Helv., Volume 49 (1974), pp. 492-495

[5] Lappan, P. The spherical derivative and normal function, Ann. Acad. Sci. Fenn. Math., Volume 3 (1977), pp. 301-310

[6] Lehto, O.; Virtanen, K.I. Boundary behaviour and normal meromorphic functions, Acta Math., Volume 97 (1957), pp. 47-65

[7] Lohwater, A.J.; Pommerenke, Ch. On normal meromorphic functions, Ann. Acad. Sci. Fenn. Math., Volume 550 (1973), pp. 1-12

[8] Yang, L. Value Distribution Theory, Springer-Verlag & Science Press, Berlin, 1993

Cité par Sources :

☆ The first author is supported by NNSF of China (Grant No. 11171045) and Doctoral Fund of Ministry of Education of China (Grant No. 20123207110003).