Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser.
2008
This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970. The literature on meromorphic functions 1 is very large. There is a comprehensive survey [62] that contains everything that was reviewed on the topic in the Soviet "Referativnyi Zhurnal" in 1953-1970, and a later large survey [67]. More recent surveys [30], [80] and [48] are shorter and have narrower scope. Some books on specific topics in the theory of meromorphic functions published after 1970 are [18], [20], [79], [100], [137], [134], [138], [162]. A survey of the fast developing subject of iteration of meromorphic functions is [7].
Cubo (Temuco), 2014
In the paper we prove a result on the uniqueness of meromorphic functions that is related to a result of Q. Han, S. Mori and K. Tohge and is originated from a result of H.Ueda and two subsequent results of G. Brosch. RESUMEN En este artículo probamos un resultado de unicidad de funciones meromórficas que se relaciona a un resultado de Q. Han, S. Mori y K. Tohge, y se origina de un resultado de H. Ueda y dos resultados derivados de G. Brosch.
1995
Our main result implies the following theorem: Let f be a transcendental meromorphic function in the complex plane. If f has finite order ρ, then every asymptotic value of f , except at most 2ρ of them, is a limit point of critical values of f .
2009
In this paper we introduce the definition of the type of a meromorphic function of order zero and discuss some growth properties of it.
Filomat, 2007
In this paper we define some subclass of meromorphic functions and we obtain some properties of these classes. .
Journal of Mathematical Analysis and Applications, 2003
We prove a uniqueness theorem for meromorphic functions sharing three values with some finite weight which improves a recent result of the author.
Bulletin of the Korean Mathematical Society
In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions w = f (z) defined on∆ := {z ∈ C : 1 < |z| < ∞} whose inverse f −1 (w) is also univalent meromorphic in∆. Estimates for the initial coefficients are obtained for the functions in these new subclasses.
Computers & Mathematics with Applications, 2011
In this paper, we shall study the uniqueness problems of meromorphic functions sharing a small function. Our results improve or generalize many previous results on value sharing of meromorphic functions.
Bull. Math. Anal. …, 2010
In the present investigation, the authors define a new class of meromorphic functions defined in the punctured unit disk Δ * := { ∈ ℂ : 0 < | | < 1}. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also prove a Property using an integral operator and its inverse defined on the new class. 2000 Mathematics Subject Classification. 30C50.
Tbilisi Mathematical Journal, 2016
In this paper, with the aid of weighted value sharing we study the uniqueness problems of meromorphic functions when certain nonlinear differential polynomials generated by them share a nonconstant polynomial with weight two. The result of the paper not only improves the results due to the present first author [Bull. Math. Anal. Appl., 2(2010), 106-118] and of Zhang and Xu [Comput. Math. Appl., 61(2011), 722-730], at the same time finds a possible answer of an open question posed by Zhang and Xu.
Applied Mathematics-A Journal of Chinese Universities
In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities, convolution and other results are investigated.
Archiv der Mathematik, 2017
In this paper we investigate some functional equations of the form P (f) = Q(g), where P, Q are Yi's polynomials, and f, g are meromorphic functions. Then we apply the obtained results to study the uniqueness problem for meromorphic functions sharing two subsets, and to give an analogue of Ritt's decomposition theorem for a class of polynomials of Fermat-Waring type in meromorphic functions.
Transactions of the American Mathematical Society, 1966
Journal of Approximation Theory, 1978
Some inequalities proved by Meinardus and Varga, and by Erdijs and Reddy, on Chebyshev constants for the function llf, f entire and satisfying some conditions, have been improved or extended to functions satisfying a different set of conditions. 146
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
In this paper, we define a function \(F : D\times D\times D\to \mathbb{C}\) in terms of \(f\) and show that Re\(F > 0\) for all \(\zeta,z,w \in D\) if and only if \(f\) belongs to the class of convex meromorphic functions.
Contemporary Mathematics, 2020
We prove a uniqueness theorem for two non-constant meromorphic functions sharing three values which improves a result of G. Brosch.
Acta Mathematica Scientia, 2012
In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ * := {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok-Srivastava operator H l m [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.
THE 8TH INTERNATIONAL CONFERENCE AND WORKSHOP ON BASIC AND APPLIED SCIENCE (ICOWOBAS) 2021
Several new subclasses of meromorphic functions are introduced and explored in this paper. For these newly defined subclasses, we want to investigate certain key aspects including coefficient estimates, growth rate, and partial sums. It's worth noting that our findings represent a generalization of a variety of previously published findings.
2010
The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic functions defined by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships and radius problem of this class.The subordination relations, distortion theorems, and inequality properties are discussed by applying differential subordination method.
Tamkang Journal of Mathematics, 2013
In this paper we introduce and study a subclass M P (α, λ, c) of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class M P (α, λ, c) by fixing the second coefficient. Further, it is shown that the class M P (α, λ, c) is closed under convex linear combination.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.