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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A procedure for conformal mapping of triply-connected domains
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by Stefan Bergman and Bruce Chalmers PDF
Math. Comp. 21 (1967), 527-542 Request permission

Corrigendum: Math. Comp. 22 (1968), 699.
Corrigendum: Math. Comp. 22 (1968), 699.
References
    B.1. S. Bergman, "Ueber die Existenz von Repräsentantenbereichen," Math. Ann., v. 102, 1929, pp. 430–446. B.2. S. Bergman, "Ueber die Kernfunktion eines Bereiches und ihr Verhalten am Rande," J. Reine Angew. Math., v. 169, 1933, pp. 1–42, 172; 1934, pp. 89–128.
  • Stefan Bergmann, Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques, Mémor. Sci. Math., no. 106, Gauthier-Villars, Paris, 1947 (French). MR 0032776
  • Stefan Bergmann, Sur la fonction-noyau d’un domaine et ses applications dans la théorie des transformations pseudo-conformes, Mémor. Sci. Math., no. 108, Gauthier-Villars, Paris, 1948 (French). MR 0032777
  • Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439
  • Stefan Bergman, Distinguished sets of invariants in the theory of pseudo-conformal transformations, J. Analyse Math. 13 (1964), 317–353. MR 181760, DOI 10.1007/BF02786622
  • B.7. S. Bergman, "On boundary behavior of some domain functionals in the theory of functions of two complex variables," Bull. Soc Sci. Lettres ŁódŹ, v. 14, 1966, pp. 1–15.
  • S. Bergman, Some properties of pseudo-conformal images of circular domains in the theory of two complex variables, Proc. Conf. Complex Analysis (Minneapolis, 1964) Springer, Berlin, 1965, pp. 30–40. MR 0185142
  • Stefan Bergman, Interior distinguished points in the theory of functions of two complex variables, J. Analyse Math. 18 (1967), 7–21. MR 213610, DOI 10.1007/BF02798031
  • S. Bergman and M. Schiffer, Kernel functions and conformal mapping, Compositio Math. 8 (1951), 205–249. MR 39812
  • Philip Davis and Philip Rabinowitz, A multiple purpose orthonormalizing code and its uses, J. Assoc. Comput. Mach. 1 (1954), 183–191. MR 67578, DOI 10.1145/320783.320788
  • P. Davis and P. Rabinowitz, Numerical experiments in potential theory using orthonormal functions, J. Washington Acad. Sci. 46 (1956), 12–17. MR 89503
  • Bernard Epstein, Orthogonal families of analytic functions, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1965. MR 0180685
  • B. A. Fuks, Spetsial′nye glavy teorii analiticheskikh funktsiĭ mnogikh kompleksnykh peremennykh, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1963 (Russian). MR 0174786
  • Kyong T. Hahn, Minimum problems of Plateau type in the Bergman metric space, Pacific J. Math. 14 (1964), 943–955. MR 169149
  • L. V. Kantorovič, Functional analysis and applied mathematics, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 6(28), 89–185 (Russian). MR 0027947
  • Herbert Meschkowski, Hilbertsche Räume mit Kernfunktion, Die Grundlehren der mathematischen Wissenschaften, Band 113, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1962 (German). MR 0140912
  • A. M. Ostrowski, Solution of equations and systems of equations, Pure and Applied Mathematics, Vol. IX, Academic Press, New York-London, 1960. MR 0127525
  • T.1. L. Tonelli, Serie Trigonometriche, Bologna, 1928. Z.1. K. Zarankiewicz, "Ueber ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete," Z. Angew. Math. Mech., v. 14, 1934, pp. 97–104.
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Additional Information
  • © Copyright 1967 American Mathematical Society
  • Journal: Math. Comp. 21 (1967), 527-542
  • MSC: Primary 30.40; Secondary 65.00
  • DOI: https://doi.org/10.1090/S0025-5718-1967-0228663-3
  • MathSciNet review: 0228663