Analogue Sochocky formulae for integral operators with additional logarithmic singularity

Abstract

In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators. As an application of these formulas derived additive representation for singular integrals. The formulas are derived in the article can be used for research and operators singular integral equations solutions.

Keywords

• integral operators
• singular integrals