Results 21 to 30 of about 10,733,006 (284)
Sufficient conditions for certain subclasses of meromorphic p-valent functions
In the present paper, we obtain certain su¢ cient conditions for meromorphic p-valent functions. Several corollaries and consequences of the main results are also considered.
Onkar Singh+2 more
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In this paper, we have given the applications of homogeneous differential polynomials to the Nevanlinna’s theory of meromorphic functions in the finite complex plane and given some generalizations by these polynomials. Bu çalışmada, homojen diferansiyel polinomlar Nevanlinna kuramına uygulandı ve bu homojen polinomlarla bazı genelleştirmeler verildi.
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On the genus of meromorphic functions [PDF]
We define the class of Left Located Divisor (LLD) meromorphic functions and their vertical order $m_0(f)$ and their convergence exponent $d(f)$. When $m_0(f)\leq d(f)$ we prove that their Weierstrass genus is minimal. This explains the phenomena that many classical functions have minimal Weierstrass genus, for example Dirichlet series, the ...
Ricardo Pérez Marco, Vicente Muñoz
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In this paper, we introduce a new derivative operator involving q-Al-Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam
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Meromorphic functions of uniqueness [PDF]
Let $E$ be an algebraically closed field of characteristic $0$ which is either $\C$ or a complete ultrametric field $K$. We consider the composition of meromorphic functions $h\circ f$ where $h$ is meromorphic in all $E$ and $f$ is meromorphic either in $E$ or in an open disk of $K$.
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The resultant on compact Riemann surfaces [PDF]
We introduce a notion of resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several integral formulas for the resultant, relate it to potential theory and give ...
A. Lascoux+40 more
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The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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Fatou components and singularities of meromorphic functions [PDF]
We prove several results concerning the relative position of points in the postsingular set P(f) of a meromorphic map f and the boundary of a Baker domain or the successive iterates of a wandering component.
Krzysztof Barański+3 more
semanticscholar +1 more source
Polar harmonic Maass forms and their applications [PDF]
In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of
Bringmann, Kathrin, Kane, Ben
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz+3 more
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