On Some Extremal Problems on Linearly Invariant Classes

2005 ◽  
Vol 10 (2) ◽  
pp. 161-170
Author(s):  
E. G. Kiriyatzkii ◽  
J. Kirjackis
Keyword(s):  
Unit Disk ◽  
Half Plane ◽  
Extremal Problems ◽  
Invariant Class ◽  
Definition Of ◽  
The Right ◽  
Variational Formulas ◽  
Omega Operator

In present paper the definition of linearly invariant class of analytical in the right half-plane is given and some extremal problems on introduced class are solved. For solving we use method based on variational formulas with specially introduced omega-operator, defined on these classes. In case when domain is unit disk similar linearly invariant classes were considered by Ch. Pommerenke, V. Starkov, E.G. Kiriyatzkii.

scholarly journals Radius of starlikeness for some classes containing non-univalent functions

2021 ◽  
pp. 2250009
Author(s):  
Shalu Yadav ◽  
Kanika Sharma ◽  
V. Ravichandran
Keyword(s):  
Unit Disk ◽  
Half Plane ◽  
Univalent Function ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Starlike Functions ◽  
Radius Of Starlikeness ◽  
The Past ◽  
The Right ◽  
Starlike Univalent Function

A starlike univalent function [Formula: see text] is characterized by [Formula: see text]; several subclasses of starlike functions were studied in the past by restricting [Formula: see text] to take values in a region [Formula: see text] on the right-half plane, or, equivalently, by requiring [Formula: see text] to be subordinate to the corresponding mapping of the unit disk [Formula: see text] to the region [Formula: see text]. The mappings [Formula: see text], [Formula: see text], defined by [Formula: see text] and [Formula: see text] map the unit disk [Formula: see text] to certain nice regions in the right-half plane. For normalized analytic functions [Formula: see text] with [Formula: see text] and [Formula: see text] are subordinate to the function [Formula: see text] for some analytic functions [Formula: see text] and [Formula: see text], we determine the sharp radius for them to belong to various subclasses of starlike functions.

Coefficient functionals and radius problems of certain starlike functions

2021 ◽  
pp. 2250089
Author(s):  
Adiba Naz ◽  
Sushil Kumar ◽  
V. Ravichandran
Keyword(s):  
Unit Disk ◽  
Half Plane ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Hankel Determinant ◽  
Radius Problems ◽  
Second Hankel Determinant ◽  
The Right ◽  
Inverse Functions

Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained in some starlike region lying in the right-half plane. In this paper, we obtain the best possible bounds on some initial coefficients for the inverse functions of Ma–Minda starlike functions. Further, the bounds on the Fekete–Szegö functional and the second Hankel determinant are computed for such functions. In addition, some sharp radius estimates are also determined.

Starlike functions associated with a lune

2017 ◽  
Vol 10 (04) ◽  
pp. 1750064 ◽  
Author(s):  
Shweta Gandhi ◽  
V. Ravichandran
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Half Plane ◽  
Complex Plane ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Lemniscate Of Bernoulli ◽  
The Right

Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function [Formula: see text] defined on the open unit disk [Formula: see text] belonging to certain well-known classes of functions associated with the above regions, we investigate the radius [Formula: see text] such that, for the function [Formula: see text], [Formula: see text] lies in the lune defined by [Formula: see text] for all [Formula: see text].

scholarly journals Continued Fractions and Conformal Mappings for Domains with Angel Points

2018 ◽  
Vol 7 (4.7) ◽  
pp. 409
Author(s):  
Pyotr N. Ivanshin ◽  
. .
Keyword(s):  
Unit Disk ◽  
Half Plane ◽  
Continued Fraction ◽  
Root Function ◽  
Conformal Mappings ◽  
Thin Domains ◽  
Root Functions ◽  
Mapping Sequence ◽  
Complex Half Plane ◽  
The Right

Here we construct the conformal mappings with the help of the continued fraction approximations. We first show that the method of [19] works for conformal mappings of the unit disk onto domains with acute external angles at the boundary. We give certain illustrative examples of these constructions. Next we outline the problem with domains which boudary possesses acute internal angles. Then we construct the method of rational root approximation in the right complex half-plane. First we construct the square root approximation and consider approximative properties of the mapping sequence in Theorem 1. Then we turn to the general case, namely, the continued fraction approximation of the rational root function in the complex right half-plane. These approximations converge to the algebraic root functions , , , . This is proved in Theorem 2 of the aricle. Thus we prove convergence of this method and construct conformal approximate mappings of the unit disk onto domains with angles and thin domains. We estimate the convergence rate of the approximation sequences. Note that the closer the point is to zero or infinity and the lower is the ratio k/N the worse is the approximation. Also we give the examples that illustrate the conformal mapping construction.  

THE CONCEPT OF CONSTITUTIONAL AND LEGAL GUARANTEES OF ELECTORAL RIGHTS

2020 ◽  
Vol 10 (4) ◽  
pp. 85-90
Author(s):  
VLADIMIR TROYAN ◽  
Keyword(s):  
Scientific Research ◽  
Formal Aspect ◽  
Universal Approach ◽  
Right To Vote ◽  
Definition Of ◽  
The Right

The relevance of the interpretation of constitutional and legal guarantees of the right to vote is mediated by isolated scientific research in this area, as well as the lack of a universal approach to legal guarantees. In this regard, the purpose of the article is to argue and disclose the author’s definitive aspect of the claimed guarantees. In the work, the author named and characterized the normative (based exclusively on legal means) with the perspective of a branch of legal and technical; regulatory and institutional (combines the formal aspect with the activities of authorized entities) and associated legal (including a set of legal and other aspects) approaches to the definition of legal guarantees. Based on the second approach, as well as combining the guarantees of the right to vote directly guarantees of the subjective right itself and guarantees of its implementation, the author offers a definition of constitutional and legal guarantees of the right to vote.

administrasi ketatausahaan sekolah

2020 ◽  
Author(s):  
Isra Revenia
Keyword(s):  
Information Needs ◽  
Control Functions ◽  
Definition Of ◽  
The Right ◽  
And Control

This article is made to know the destinantion and the administrasi functions of the school in order to assist the leader of an organazation in making decisions and doing the right thing, recording of such statements in addition to the information needs also pertains to the function of accountabilitty and control functions. Administrative administration is the activity of recording for everything that happens in the organization to be used as information for leaders. While the definition of administration is all processing activities that start from collecting (receiving), recording, processing, duplicating, minimizing and storing all the information of correspondence needed by the organization. Administration is as an activity to determine everything that happens in the organization, to be used as material for information by the leadership, which includes all activities ranging from manufacturing, managing, structuring to all the preparation of information needed by the organization.

SELF ASSESSMENT TO KNOW UNDERSTANDING MATHEMATIC CONCEPT

2018 ◽  
Vol 3 (1) ◽  
pp. 14-21
Author(s):  
Deni Iriyadi
Keyword(s):  
Qualitative Study ◽  
Qualitative Analysis ◽  
Resolution Limit ◽  
Self Assessment ◽  
Limit Concept ◽  
Research Instrument ◽  
Definition Of ◽  
The Right

This research is a qualitative study aimed to determine the students' understanding of the concept of matter limit. The subjects were students of class XI IPA 1 SMA Negeri 1 Watampone. The concept includes the definition of the limit. Data obtained using a research instrument in the form of self-assessment and then proceed with the interview subjects were selected based on the results of self-assessment has been done before. Analysis using qualitative analysis of students' understanding of the concept of the limit concept. The results of this study indicate that students' understanding of concepts some of which are not / do not understand especially regarding definitions limit. In addition students are also wrong about the resolution limit. Students who understand the concept of limit dinyakatakan them restate concepts, including examples and classify the sample to non-completion of function and limit the right results.

DIRECTIONS FOR PROVISION OF PUBLIC BODIES’ TRANSPARENCY AND ACCOUNTABILITY IN CONDITIONS OF PARTICIPATORY DEMOCRACY DEVELOPMENT

2018 ◽  
Vol 1 (11) ◽  
pp. 144-154
Author(s):  
Olga Mykhailоvna Ivanitskaya
Keyword(s):  
Public Administration ◽  
Participatory Democracy ◽  
Main Task ◽  
The Public ◽  
State Governance ◽  
Legislative Initiative ◽  
The Government ◽  
Definition Of ◽  
The Right ◽  
Transparency And Accountability

The article is devoted to issues of ensuring transparency and ac- countability of authorities in the conditions of participatory democracy (democ- racy of participation). It is argued that the public should be guaranteed not only the right for access to information but also the prerequisites for expanding its par- ticipation in state governance. These prerequisites include: the adoption of clearly measurable macroeconomic and social goals and the provision of control of the processes of their compliance with the government by citizens of the country; ex- tension of the circle of subjects of legislative initiative due to realization of such rights by citizens and their groups; legislative definition of the forms of citizens’ participation in making publicly significant decisions, design of relevant orders and procedures, in particular participation in local referendum; outlining methods and procedures for taking into account social thought when making socially im- portant decisions. The need to disclose information about resources that are used by authorities to realize the goals is proved as well as key performance indicators that can be monitored by every citizen; the efforts made by governments of coun- tries to achieve these goals. It was noted that transparency in the conditions of representative democracy in its worst forms in a society where ignorance of the thought of society and its individual members is ignored does not in fact fulfill its main task — to establish an effective dialogue between the authorities and so- ciety. There is a distortion of the essence of transparency: instead of being heard, society is being asked to be informed — and passively accept the facts presented as due. In fact, transparency and accountability in this case are not instruments for the achievement of democracy in public administration, but by the form of a tacit agreement between the subjects of power and people, where the latter passes the participation of an “informed observer”.

scholarly journals Lying, speech acts, and commitment

Synthese ◽  
2020 ◽  
Author(s):  
Neri Marsili
Keyword(s):  
Speech Acts ◽  
Speech Act ◽  
Good Definition ◽  
Definition Of ◽  
The Right ◽  
Adequate Analysis

AbstractNot every speech act can be a lie. A good definition of lying should be able to draw the right distinctions between speech acts (like promises, assertions, and oaths) that can be lies and speech acts (like commands, suggestions, or assumptions) that under no circumstances are lies. This paper shows that no extant account of lying is able to draw the required distinctions. It argues that a definition of lying based on the notion of ‘assertoric commitment’ can succeed where other accounts have failed. Assertoric commitment is analysed in terms of two normative components: ‘accountability’ and ‘discursive responsibility’. The resulting definition of lying draws all the desired distinctions, providing an intensionally adequate analysis of the concept of lying.

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