DSpace Collection: 2010
http://hdl.handle.net/10525/1637
The Collection's search engineSearch the Channelsearch
http://sci-gems.math.bas.bg/jspui/simple-search
Note on Radius Problems for Certain Class of Analytic Functions
http://hdl.handle.net/10525/1677
Title: Note on Radius Problems for Certain Class of Analytic Functions<br/><br/>Authors: Uyanik, Neslihan; Owa, Shigeyoshi<br/><br/>Abstract: The object of the present paper is to discuss some radius properties.<br/><br/>Description: MSC 2010: 30C45Some Distortion Theorems for Starlike Harmonic Functions
http://hdl.handle.net/10525/1676
Title: Some Distortion Theorems for Starlike Harmonic Functions<br/><br/>Authors: Yavuz Duman, Emel<br/><br/>Abstract: Distortion and growth theorems are obtained.<br/><br/>Description: MSC 2010: 30C55, 30C45Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
http://hdl.handle.net/10525/1675
Title: Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc<br/><br/>Authors: Polatoğlu, Yaşar<br/><br/>Abstract: One of the most important questions in the study of the classes of suchfunctions is related to bounds on the modulus of functions (growth) ormodulus of the derivative (distortion). The aim of this paper is to give thegrowth and distortion theorems for the close-to-convex harmonic functionsin the open unit disc D.<br/><br/>Description: MSC 2010: 30C45, 30C55On a Convexity Preserving Integral Operator
http://hdl.handle.net/10525/1674
Title: On a Convexity Preserving Integral Operator<br/><br/>Authors: Oros, Gheorghe; Irina Oros, Georgia<br/><br/>Abstract: In this paper we determine conditions ananalytic function g needs to satisfy in order that the function Fgiven by (1) be convex.<br/><br/>Description: MSC 2010: 30C45, 30A20, 34C40An Application of the Subordination Chains
http://hdl.handle.net/10525/1673
Title: An Application of the Subordination Chains<br/><br/>Authors: Irina Oros, Georgia<br/><br/>Abstract: The notion of differential superordination was introduced in [4] by S.S.Miller and P.T. Mocanu as a dual concept of differential subordination [3]and was developed in [5]. The notion of strong differential subordinationwas introduced by J.A. Antonino and S. Romaguera in [1]. In [6] the authorintroduced the dual concept of strong differential superordination. In thispaper we study strong differential superordination using the subordinationchains.<br/><br/>Description: MSC 2010: 30C45, 30A20, 34A30Application of Salagean and Ruscheweyh Operators on Univalent Holomorphic Functions with Finitely many Coefficients
http://hdl.handle.net/10525/1672
Title: Application of Salagean and Ruscheweyh Operators on Univalent Holomorphic Functions with Finitely many Coefficients<br/><br/>Authors: Najafzadeh, Shahram<br/><br/>Abstract: The purpose of the present paper is to introduce a new subclass of holomorphic univalent functions with negative and fixed finitely coefficient based on Salagean and Ruscheweyh differential operators. The various results investigated in this paper include coefficient estimates, extreme points and Radii properties.<br/><br/>Description: MSC 2010: 30C45, 30C50Hilbert-Smith Conjecture for K - Quasiconformal Groups
http://hdl.handle.net/10525/1671
Title: Hilbert-Smith Conjecture for K - Quasiconformal Groups<br/><br/>Authors: Gong, Jianhua<br/><br/>Abstract: A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.<br/><br/>Description: MSC 2010: 30C60On the Quotient Function Employed in the Blind Source Separation Problem
http://hdl.handle.net/10525/1670
Title: On the Quotient Function Employed in the Blind Source Separation Problem<br/><br/>Authors: Fujita, K.<br/><br/>Abstract: On the blind source separation problem, there is a method to use the quotient function of complex valued time-frequency informations of two ob-served signals. By studying the quotient function, we can estimate the number of sources under some assumptions. In our previous papers, we gave a mathematical formulation which is available for the sources with-out time delay. However, in general, we can not ignore the time delay. In this paper, we will reformulate our basic theorems related to the method of estimating the number of sources to be available for more general cases.<br/><br/>Description: MSC 2010: 42C40, 94A12Applications of Subordination Principle to Log-Harmonic Mappings
http://hdl.handle.net/10525/1669
Title: Applications of Subordination Principle to Log-Harmonic Mappings<br/><br/>Authors: Esra Özkan, H.; Polatoğlu, Yaşar; Şen, Arzu<br/><br/>Abstract: The aim of this paper is to give some applications of subordination principle to log-harmonic mappings.<br/><br/>Description: MSC 2010: 30C45, 30C55A Note on Univalent Functions with Finitely many Coefficients
http://hdl.handle.net/10525/1668
Title: A Note on Univalent Functions with Finitely many Coefficients<br/><br/>Authors: Darus, M.; Ibrahim, R.<br/><br/>Abstract: The main object of this article is to introduce sufficient conditions ofunivalency for a class of analytic functions with finitely many coefficientsdefined by approximate functions due to Suffridge on the unit disk of thecomplex plane whose image is saddle-shaped. Sandwich theorem is alsodiscussed.<br/><br/>Description: MSC 2010: 30C45Investigation of a Stolarsky type Inequality for Integrals in Pseudo-Analysis
http://hdl.handle.net/10525/1667
Title: Investigation of a Stolarsky type Inequality for Integrals in Pseudo-Analysis<br/><br/>Authors: Daraby, Bayaz<br/><br/>Abstract: In this paper, we prove a Stolarsky type inequality for pseudo-integrals.<br/><br/>Description: MSC 2010: 03E72, 26E50, 28E10A Poster about the Old History of Fractional Calculus
http://hdl.handle.net/10525/1666
Title: A Poster about the Old History of Fractional Calculus<br/><br/>Authors: Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco<br/><br/>Abstract: The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.<br/><br/>Description: MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
http://hdl.handle.net/10525/1665
Title: Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints<br/><br/>Authors: Tsankov, Yulian<br/><br/>Abstract: In this paper are found explicit solutions of four nonlocal boundary valueproblems for Laplace, heat and wave equations, with Bitsadze-Samarskiiconstraints based on non-classical one-dimensional convolutions. In fact,each explicit solution may be considered as a way for effective summationof a solution in the form of nonharmonic Fourier sine-expansion. Eachexplicit solution, may be used for numerical calculation of the solutions too.<br/><br/>Description: MSC 2010: 44A35, 35L20, 35J05, 35J25On the Operational Solution of a System of Fractional Differential Equations
http://hdl.handle.net/10525/1664
Title: On the Operational Solution of a System of Fractional Differential Equations<br/><br/>Authors: Takači, Dj.; Takači, A.<br/><br/>Abstract: We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and GeoGebra, the exact and the approximate solution of the given numerical example are constructed, and their dependence on the initial condition and the fractional derivatives is shown graphically.<br/><br/>Description: MSC 2010: 26A33, 44A45, 44A40, 65J10Some Notes about a Class of Univalent Functions with Negative Coefficients
http://hdl.handle.net/10525/1663
Title: Some Notes about a Class of Univalent Functions with Negative Coefficients<br/><br/>Authors: Pashkouleva, Donka<br/><br/>Abstract: The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.<br/><br/>Description: MSC 2010: 30C45, 30C50Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems
http://hdl.handle.net/10525/1662
Title: Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems<br/><br/>Authors: Paneva-Konovska, Jordanka<br/><br/>Abstract: In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems. Asymptotic formulae are also provided for the Mittag-Leffler functions in the case of \large" values of indices that are used in the proofs of the convergence theorems for the considered series.<br/><br/>Description: MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12