Comptes Rendus
no. 1
Complex analysis
Two results on φ-normal functions

Presented by: the Editorial Board

Yan Xu1; Huiling Qiu2
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, Volume 352 (2014) no. 1, pp. 21-25.

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

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

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.11.010

Yan Xu 1; Huiling Qiu 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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Yan Xu; Huiling Qiu. Two results on φ-normal functions. Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 21-25. doi : 10.1016/j.crma.2013.11.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.010/

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

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

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

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

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

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

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

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

Cited by 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).

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