Meromorphic solutions of certain types of complex functional equations
نویسندگان
چکیده
منابع مشابه
On meromorphic solutions of certain type of difference equations
We mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565--576, and X. G. Qi...
متن کاملon meromorphic solutions of certain type of difference equations
we mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+p(z)f(z+c)^n=q(z)$, which is a supplement of previous results in [k. liu, l. z. yang and x. l. liu, existence of entire solutions of nonlinear difference equations, czechoslovak math. j. 61 (2011), no. 2, 565--576, and x. g. qi...
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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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In this paper, we investigate the iterated order of meromorphic solutions of homogeneous and nonhomogeneous linear differential equations where the coefficients are meromorphic functions satisfying certain growth conditions. And some estimates of iterated convergence exponent are also given. 2000 Mathematics Subject Classification: 34M10, 30D35
متن کاملgrowth 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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ژورنال
عنوان ژورنال: ScienceAsia
سال: 2021
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2021.065