[PDF] Top 20 On a boundary property of analytic functions
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On a boundary property of analytic functions
... Let f be an analytic function in the unit disc |z| < 1 on the complex plane C. This paper is devoted to obtaining the correspondence between f (z) and zf (z) at the point w, 0 < |w| = R < 1, such that |f ... See full document
7
THIN FILM ROUGHNESS OPTIMIZATION IN THE TIN COATINGS USING GENETIC ALGORITHMS
... and boundary functions, we construct an analytic representation of the solution of a singularly perturbed boundary value problem (1), (2); asymptotic estimates are obtained for the solution of ... See full document
10
On some classes of analytic functions
... e=O 0=0 k of functions with bounded boundary rotagive us the well known class V k tion first introduced and discussed by Paatero [3] and Lowner [4].. V0 may not possess boundary rotation[r] ... See full document
7
On Summability of Spectral Expansions Corresponding to the Sturm Liouville Operator
... associated functions is finite or infinite ...the boundary conditions and the potential qx, the system of root functions may have or may not have the basis property 17, 22, 23, and even for ... See full document
14
Boundary value problems for periodic analytic functions
... paper boundary value problems for periodic analytic functions are ...periodic analytic functions through detailed ...Riemann boundary value problems for periodic analytic ... See full document
28
Doubly Periodic Riemann Boundary Value Problem of Non Normal Type for Analytic Functions on Two Parallel Curves
... Riemann boundary value problem of non-normal type for analytic functions on two parallel ...complex functions, we give the method for solving this kind of doubly periodic Riemann ... See full document
9
Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative
... fractional boundary value problem of order ∝, 3 <∝≤ 4 defined in terms of Caputo fractional ...Green's functions for the corresponding boundary value problem and use a property of the ... See full document
5
The class of functions spirallike with respect to a boundary point
... starlike functions with respect to a boundary ...a boundary point is a complex power of a corresponding function which is starlike with respect to a boundary ...alternative analytic ... See full document
11
Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
... [16] , The method of Cauchy type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable, Current Problems in Mathematics, Vol. 7, Akad. Nauk SSSR ... See full document
29
CHRACTERISTIC PROPERTIES OF SEQUENCES GENERATING FINITE ELEMENTS OF POLYANALYTIC FUNCTIONS’ CLUSTER SETS IN THEIR ISOLATED SINGULAR L-POINTS
... following property p ( z n ) → 0 , where p ( z ) is some not identical to the constant analytical polynomial, when and only when it converges to the set (not obligatory to the whole one) of all complex roots of ... See full document
5
Levin’s type boundary behaviors for functions harmonic and admitting certain lower bounds
... In this paper, we prove Levin’s type boundary behaviors for functions harmonic and admitting certain lower bounds, which extend Pan, Qiao and Deng’s inequalities for analytic functions i[r] ... See full document
8
One class of generalized boundary value problem for analytic functions
... a boundary value problem for analytic functions with two unknown functions on two parallel straight lines is studied, the general solutions in the different domains as well as the conditions of ... See full document
11
Interfacial Crack Problem of a Class of Spliced Materials
... of boundary value problems for analytic functions, using proper decom- position of the functions and integral transformation, the problem is reduced to a singular integral equation of normal ... See full document
7
Boundary behaviour of analytic functions in spaces of Dirichlet type
... [28] S. A. Vinogradov, Multiplication and division in the space of analytic functions with an area-inte- grable derivative, and in some related spaces, Rossi˘ı skaya Akademiya Nauk. Sankt-Peterburgskoe ... See full document
12
On differential subordinations for a class of analytic functions defined by a linear operator
... all analytic functions p(z) with p(0) = 1 which are defined on ∆ ...Carathéodory functions consists of functions p(z) ∈ Ꮽ having positive real ...two functions f (z) and g(z) given ... See full document
12
Some Characteristic Quantities Associated with Homogeneous Type and Type Functions
... of functions are introduced and some quantities for a pair of ho- mogeneous functions having P-property and M-property are obtained, ... See full document
10
Application of quasi-subordination for certain subclasses of bi-univalent functions of complex order
... all functions in A which are univalent in ...between analytic functions, let the functions f and g be analytic in ...(z), analytic in ∆ ... See full document
6
Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
... Abstract. In this effort, we deal with a new integral operator in the open unit disk. This operator is formulated by the complex Alexander operator and its derivative. Furthermore, we introduce a new subspace of the ... See full document
8
On A Subclass Of N-Uniformly Multivalent Functions Used By Incomplete Beta Function
... Key words and phrases : Analytic functions , Multivalent functions , Coefficient estimate, Distortion theorem, Starlike functions , Convex functions, Close-to-close functions, [r] ... See full document
20
On the multivalency of certain analytic functions
... convex functions of order α, ...convex functions of order α was introduced in [] and [] with their geometric ...convex functions; see for example ... See full document
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