Abstract
So called Sokhotski formulas present a jump of the integral of Cauchy type at the contour on the complex planeC [1]. The generalization of Sokhotski formulas on two complex variables is obtained for the contours onC 1 C 2 of the same properties as studied before for one complex variable. The integral of Cauchy type for two complex variables is defined by a function satisfying the Lipschitz condition on the contour of integration.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Lavrentiev M., Chabat B.,Mèthodes de la théorie des functions d'une variable complex (Ed. MIR, Moscow, 1972).
Pavlotsky I. P.,Vestnik of Moscow University, N. 3 (1960) [in Russian].
Hörmander L.,An introduction to complex analysis in several variables (Ed. North Holland, 1990).
Smirnov V. I.,Corso di Matematica, vol. III, (Editori Riuniti, 1978).
Author information
Authors and Affiliations
Additional information
Research performed under the financial support of M.U.R.S.T.
Rights and permissions
About this article
Cite this article
Gallo, A. The generalization of Sokhotski formulas on two complex variables. Rend. Circ. Mat. Palermo 46, 425–438 (1997). https://doi.org/10.1007/BF02844282
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02844282