Value distribution of meromorphic functions and their differences

Ranran ZHANG; Zongxuan CHEN

Makale detayları

Value distribution of meromorphic functions and their differences

Yazarlar:

Ranran ZHANG | Zongxuan CHEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.395-406

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747778

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Complex difference; value distribution; Borel exceptional value

Özet:

 

Let f(z) be a transcendental meromorphic function.  Results  are proved concerning the value distribution of the n'th forward  difference Dnf(z), in terms of Borel exceptional values of f(z).  The results may be partly viewed as discrete analogues of a classical  theorem of Hayman dealing with the possible relationships between  Picard exceptional values of f(z) and its derivatives.

 

Let f(z) be a transcendental meromorphic function.  Results  are proved concerning the value distribution of the n'th forward  difference Dnf(z), in terms of Borel exceptional values of f(z).  The results may be partly viewed as discrete analogues of a classical  theorem of Hayman dealing with the possible relationships between  Picard exceptional values of f(z) and its derivatives.

Makale detayları

Value distribution of meromorphic functions and their differences

Yazarlar: Ranran ZHANG | Zongxuan CHEN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.395-406

Belge Tipi: Makale

Yayın Tarihi: 2/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747778

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Complex difference; value distribution; Borel exceptional value

Sayı

Yazarlar:

Ranran ZHANG | Zongxuan CHEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.395-406

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747778

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098