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Vol.3 , No. 1, Publication Date: Jun. 7, 2016, Page: 1-16
- characteristics celebrated jordanovic of closed curves (in the case when θ(δ)~δ, this class of curves is much wider class of piecewise-smooth class of curves for which the chord length relation to the pulling together arch are limited (K-curves), and also in it existence of cusps is allowed). The main characteristics for functions f∈C_∆ - the mixed and private modules of continuity which was proven continuously extendibility of n-multiple Cauchy-type integral to the border of the semicylindrical domain and the limit values of the types of Sokhoskiy’s formulas.&picture=http://www.aascit.org/aascit/decorators/img/journal/921.jpg)
| [1] | A. Gaziev, Faculty of Mechanical-Mathematics of Samarkand State University, Samarkand, Uzbekistan. |
| [2] | M. Yakhshiboev, Samarkand Branch of Tashkent University of Informational Technology, Samarkand, Uzbekistan. |
The purpose of this work is the elucidation of the behavior of Cauchy-type integrals near the boundary semicylindrical domain to θ(δ)- characteristics celebrated jordanovic of closed curves (in the case when θ(δ)~δ, this class of curves is much wider class of piecewise-smooth class of curves for which the chord length relation to the pulling together arch are limited (K-curves), and also in it existence of cusps is allowed). The main characteristics for functions f∈C_∆ - the mixed and private modules of continuity which was proven continuously extendibility of n-multiple Cauchy-type integral to the border of the semicylindrical domain and the limit values of the types of Sokhoskiy’s formulas.
Keywords
Closed Jordan Rectifiable Curve (c.j.r.c.), Semicylindrical Domain, Cauchy-Type Integrals, Private and Mixed Continuity Modules, Characteristic Curve Core, Continuous Extendibility, Sokhoskiy’s Formulas
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