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On a New Proof of Wittich Theorem ofComplex Difference Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2015年04期
Page:
22-
Research Field:
数学
Publishing date:

Info

Title:
On a New Proof of Wittich Theorem ofComplex Difference Equations
Author(s):
Xu Xinping; Zhang Jianjun
School of Mathematics and Information Technology，Jiangsu Second Normal University，Nanjing 210013，China
Keywords:
Wittich theorem; difference equations; growth order; Meromorphic functions
PACS:
O174.5
DOI:
-
Abstract:
The main purpose of this paper is to give a new proof of Wittich theorem of complex difference equations，which don’t depend on the result obtained by Laine I and Yang C C［1］in 2007.

References:

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［3］LAINE I. Nevanlinna theory and complex differential equations［M］. Berlin：Walter de Gruyter，1993.
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［5］LAINE I，YANG C C. Clunie theorems for difference and [q]-difference polynomials［J］. J London Math Soc，2007，76：556-566.
［6］ISHIZAKI K. On a conjecture of Gackstatter and Laine for some differential equations［J］. Proc Japan Acad，1991，67：270-273.
［7］CHIANG Y M，FENG S J. On the Nevanlinna characteristic of [f(z+η)] and difference equations in the complex plane［J］. Ramanujan journal，2008，16：105-129.
［8］HALBURD R G，KORHONEN R J. Difference analogue of the lemma on the logarithmic derivative with applications to difference equations［J］. J Math Anal Appl，2006，314：477-487.

Memo

Memo:
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Last Update: 2015-12-30