Lifanov, I. K. Quadrature formulae and the Poincaré-Bertrand formula for singular integrals. (English. Russian original) Zbl 0473.65006 Sib. Math. J. 21, 787-796 (1981); translation from Sib. Mat. Zh. 21, No. 6, 46-60 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 65D32 Numerical quadrature and cubature formulas 41A55 Approximate quadratures 41A63 Multidimensional problems 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane Keywords:quadrature formulas; multiple singular integrals; Cauchy type; Poincare- Bertrand formula PDFBibTeX XMLCite \textit{I. K. Lifanov}, Sib. Math. J. 21, 787--796 (1980; Zbl 0473.65006); translation from Sib. Mat. Zh. 21, No. 6, 46--60 (1980) Full Text: DOI References: [1] N. I. Muskhelishvili, Singular Integral Equations [in Russian], Nauka, Moscow (1968). · Zbl 0174.16202 [2] V. D. Kupradze, Boundary Problems in the Theory of Vibrations and Integral Equations [in Russian], Gostekhizdat, Moscow (1950). [3] G. F. Gakhov, Boundary?Value Problems [in Russian], Nauka, Moscow (1977). · Zbl 0449.30030 [4] V. A. Kakichev, ?Boundary properties of an integral of the Cauchy type in several variables,? Uch. Zap. Shakhtinsk. Pedagog. Inst.,2, No. 6, 25-90 (1959). [5] G. M. Fikhtengol’ts, Lectures on Differential and Integral Calculus [in Russian], Vol. 2, Fizmatgiz, Moscow (1959). [6] G. H. Hardy, Divergent Series, Clarendon Press, Oxford (1949). · Zbl 0032.05801 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.