Area Nevanlinna type classes of analytic functions in the unit disk and related spaces

Romi Shamoyan; Seraphim Maksakov

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Displaying similar documents to “Area Nevanlinna type classes of analytic functions in the unit disk and related spaces”

Analytic functions in the unit disc sharing values in a sector

Hong-Yan Xu, Ting-Bin Cao (2012)

Annales Polonici Mathematici

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We deal with the uniqueness of analytic functions in the unit disc sharing four distinct values and obtain two theorems improving a previous result given by Mao and Liu (2009).

Unbounded functions in the unit disc.

Sons, L.R. (1983)

International Journal of Mathematics and Mathematical Sciences

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Subordination and superordination of certain linear operator on meromorphic functions

M. Aouf, T. Seoudy (2010)

Annales UMCS, Mathematica

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Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.

The radius of p-valent starlikeness for certain classes of analytic functions

Donald J. Wright (1970)

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Majorization for certain classes of meromorphic functions defined by integral operator

S. P. Goyal, Pranay Goswami (2012)

Annales UMCS, Mathematica

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Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin.

Uniqueness of two analytic functions sharing four values in an angular domain

Hong-Yan Xu, Ting-Bin Cao (2010)

Annales Polonici Mathematici

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We deal with the uniqueness problem for analytic functions sharing four distinct values in an angular domain and obtain some theorems which improve the result given by Cao and Yi [J. Math. Anal. Appl. 358 (2009)].

Analytic and C-analytic functions.

Jovan D. Keckic (1969)

Publications de l'Institut Mathématique [Elektronische Ressource]

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On some properties of analytic functions

Tsin-Hwa Shu (1961)

Annales Polonici Mathematici

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Some applications of generalized condensers in the theory of analytic functions.

Dubinin, V.N., Èĭrikh, N.V. (2004)

Zapiski Nauchnykh Seminarov POMI

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Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator

M. Aouf, A. Shamandy, A. Mostafa, S. Madian (2010)

Annales UMCS, Mathematica

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Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

A generalised Mazurkiewicz-Sierpiński theorem with an application to analytic sets

R. M. Shortt (1987)

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Some criteria for the multivalence of certain analytic functions

Maxwell O. Reade, Toshio Umezawa (1967)

Colloquium Mathematicae

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Analytic continuation for some classes of separately analytic functions of real variables

Nguyen Thanh Van (2003)

Annales Polonici Mathematici

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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.

Interaction between coefficient conditions and solution conditions of differential equations in the unit disk.

Fowler, K.E., Sons, L.R. (2006)

International Journal of Mathematics and Mathematical Sciences

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