Growth of meromorphic solutions for complex difference equations of Malmquist type
نویسندگان
چکیده مقاله:
In this paper, we give some necessary conditions for a complex difference equation of Malmquist type $$sum^n_{j=1}f(z+c_j)=frac{P(f(z))}{Q(f(z))},$$ where $n(in{mathbb{N}})geq{2}$, and $P(f(z))$ and $Q(f(z))$ are relatively prime polynomials in $f(z)$ with small functions as coefficients, admitting a meromorphic function of finite order. Moreover, the properties of finite order transcendental meromorphic solutions for complex difference equation $prod^n_{j=1}f(z+c_j)=P(f(z))/Q(f(z))$ are also investigated.
منابع مشابه
growth of meromorphic solutions for complex difference equations of malmquist type
in this paper, we give some necessary conditions for a complex difference equation of malmquist type $$sum^n_{j=1}f(z+c_j)=frac{p(f(z))}{q(f(z))},$$ where $n(in{mathbb{n}})geq{2}$, and $p(f(z))$ and $q(f(z))$ are relatively prime polynomials in $f(z)$ with small functions as coefficients, admitting a meromorphic function of finite order. moreover, the properties of finite o...
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عنوان ژورنال
دوره 42 شماره 6
صفحات 1497- 1505
تاریخ انتشار 2016-12-18
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