Results 21 to 30 of about 10,733,006 (284)

Sufficient conditions for certain subclasses of meromorphic p-valent functions

open access: yesBoletim da Sociedade Paranaense de Matemática, 2015
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
doaj   +1 more source

Meromorphic Functions [PDF]

open access: yesDoğuş Üniversitesi Dergisi, 2001
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.
openaire   +3 more sources

On the genus of meromorphic functions [PDF]

open access: yesProceedings of the American Mathematical Society, 2014
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
openaire   +3 more sources

Fekete–Szegö Problems for Certain Classes of Meromorphic Functions Involving q-Al-Oboudi Differential Operator

open access: yesJournal of Mathematics, 2022
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
doaj   +1 more source

Meromorphic functions of uniqueness [PDF]

open access: yesBulletin des Sciences Mathématiques, 2007
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 $K$.
openaire   +5 more sources

The resultant on compact Riemann surfaces [PDF]

open access: yes, 2008
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
core   +1 more source

Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients

open access: yesApplied Mathematics in Science and Engineering, 2023
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
doaj   +1 more source

Fatou components and singularities of meromorphic functions [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017
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]

open access: yes, 2016
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
core   +2 more sources

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

open access: yesJournal of Function Spaces, 2022
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
doaj   +1 more source

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