Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Shuang-Ting Lan"'
Autor:
Shuang-Ting Lan, Zong-Xuan Chen
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 199,, Pp 1-11 (2015)
We consider the Schwarzian type difference equation $$ \Big[\frac{\Delta^{3}f(z)}{\Delta f(z)}-\frac{3}{2} \Big(\frac{\Delta^{2}f(z)}{\Delta f(z)}\Big)^{2}\Big]^{k}=R(z), $$ where R(z) is a nonconstant rational function. We study the existence o
Externí odkaz:
https://doaj.org/article/9d35532169904278a2775b41a1347049
Autor:
Shuang-Ting Lan, Zong-Xuan Chen
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
In this paper, we mainly study the properties of transcendental meromorphic solutions f(z) of difference Painlevé equations w(z+1)w(z-1)(w(z)-1)=η(z)w2(z)-λ(z)w(z) and w(z+1)w(z-1)(w(z)-1)=η(z)w(z) and obtain precise estimations of the exponents
Externí odkaz:
https://doaj.org/article/7f55df2ae95a499fa27823534c8a14e2
Autor:
Shuang-Ting Lan, Zong-Xuan Chen
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We mainly study the exponents of convergence of zeros and poles of difference and divided difference of transcendental meromorphic solutions for certain difference Painlevé III equations.
Externí odkaz:
https://doaj.org/article/83d6366ae5bf4f1ca2d3911f2f037c9c
Publikováno v:
Acta Mathematica Scientia. 41:1911-1920
Autor:
Zong-xuan Chen, Shuang-ting Lan
Publikováno v:
Applied Mathematics-A Journal of Chinese Universities. 35:16-32
In this paper, we study the difference equation $${a_1}\left(z \right)f\left({z + 1} \right) + {a_0}\left(z \right)f\left(z \right) = 0,$$ where a1(z) and a0(z) are entire functions of finite order. Under some conditions, we obtain some properties, s
Publikováno v:
Filomat. 34:2003-2015
Let f (z) be a meromorphic functions with finite order , R(z) be a nonconstant rational function and k be a positive integer. In this paper, we consider the difference equation originated from Schwarzian differential equation, which is of form [?3f(z
Publikováno v:
ScienceAsia. 47:520
Publikováno v:
ScienceAsia. 46:361
Autor:
Shuang-Ting Lan, Zong-Xuan Chen
Publikováno v:
Advances in Difference Equations. 2017
Consider the difference equation $$\biggl[\frac{\Delta^{3}f(z)}{\Delta f(z)}-\frac{3}{2} \biggl(\frac {\Delta^{2}f(z)}{\Delta f(z)} \biggr)^{2} \biggr]^{k} =\frac{P(z,f(z))}{Q(z,f(z))}, $$ where $P(z,f)$ and $Q(z,f)$ are prime polynomials in $f(z)$ w
Autor:
Shuang Ting Lan, Zong Xuan Chen
Publikováno v:
Acta Mathematica Sinica, English Series. 30:1795-1809
In this paper, we mainly study zeros and poles of the forward differences Δnf(z), where f(z) is a finite order meromorphic function with two Borel exceptional values.