Functions of One Complex Variable Special Part

1976 ◽  
pp. 167-211
Author(s):  
George Pólya ◽  
Gabor Szegö
Keyword(s):  
Complex Variable ◽  
Special Part

Functions of One Complex Variable Special Part

1976 ◽  
pp. 3-35
Author(s):  
George Pólya ◽  
Gabor Szegö
Keyword(s):  
Complex Variable ◽  
Special Part

CODIFICATION PROBLEMS OF NECESSARY DEFENSE AFFECTING ITS IMPLEMENTATION

2020 ◽  
Vol 10 (3) ◽  
pp. 155-163
Author(s):  
PETRUSHENKOV ALEXANDR ◽  
Keyword(s):  
Russian Federation ◽  
Criminal Law ◽  
Criminal Code ◽  
Educational Institutions ◽  
Scientific Article ◽  
Teaching Staff ◽  
Self Defense ◽  
Special Part ◽  
The Russian Federation ◽  
Legislative Activities

Objectives. The goal of scholarly research is to develop proposals for amendments in criminal law General and Special part of Criminal code of the Russian Federation governing self-defense. The scientific article identifies legislative gaps and contradictions that hinder the effective implementation of the necessary defense and require prompt solutions. Methods. The article analyzes such concepts as “self-defense”, “public assault”, “excess of limits of necessary defense”, “violation of the conditions of lawfulness of necessary defense”, “surprise assault”, “rights defending or other persons, interests of the state”. The use of logical and comparative legal methods allowed us to develop proposals for making changes to the criminal law norms that establish the necessary defense. Conclusions. The article shows the conflicts and gaps legislative recognition of self-defense and, in this regard, the complexity of its implementation in the articles of the Special part of the Criminal code of the Russian Federation and practical application. Changes are proposed to the criminal law norms regulating the necessary defense, both in the General and in the Special part of the Criminal code of the Russian Federation. Sense. The content of the scientific article can be used by the teaching staff of higher educational institutions when teaching the course “Criminal law”. The results of the work can be useful to persons who carry out legislative activities in the field of criminal law. The leitmotif of the article can be used in the preparation of dissertation research.

A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable

2020 ◽  
Vol 17 (2) ◽  
pp. 256-277
Author(s):  
Ol'ga Veselovska ◽  
Veronika Dostoina
Keyword(s):  
Complex Plane ◽  
Complex Variable ◽  
Analytic Functions ◽  
Combinatorial Identities ◽  
Independent Interest ◽  
Closed Curves ◽  
In Series ◽  
Derivatives Of

For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of expansion of analytic functions in series in polynomials under consideration are established. The examples of such expansions are given. In addition, we obtain some combinatorial identities of independent interest.

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