About properties of Cauchy-type integral with a fixed point in the kernel in С1 space :: IKBFU's united scientific journal editorial office

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My faith is the belief that happiness will be given to humanity by scientific progress
Ivan P. Pavlov

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About properties of Cauchy-type integral with a fixed point in the kernel in С1 space

Author Milovanov V
Pages 166-168
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Keywords integral Cauchy type, fixed point, the kernel, area analyticity, area non-analyticity, the linear operator
Abstract (summary) The Cauchy-type integral with a fixed point in the kernel is in the as-sumption that fixed point is on the exterior of a circle of RADIUS one. Set fields non-analyticity and the analyticity of the integral. Area non-analyticity naturally splits into two subareas , each of which the integral is calculated ac-cording to a specific formula. Non-analytical functions, which have integral Cauchy type with a fixed point in the kernel satisfies a certain differential equations. Using the method of linear differential operators is link integrals with a fixed point in the kernel with integral Cauchy type.
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