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Bibliography
ARAKELJAN, N.U.: Uniform and tangential approximations by analytic functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 (1968), 273–286 (Russian).
CARLEMAN, T.: Sur un théorème de Weierstrass, Ark. Mat. Astronom. Fys. 20B 4 (1927), 1–5.
GAIER, D.: Vorlesungen über Approximation im Komplexen, Birkhäuser-Verlag, Basel-Boston-Stuttgart (1980).
GAMELIN, T.W.: Uniform Algebras, Prentice-Hall, Englewood Cliffs, N.J. (1969).
GAUTHIER, P.M.: Tangential approximation by entire functions and functions holomorphic in a disc, Izv. Akad. Nauk Armjan. SSR Ser. Mat 4 (1969), 319–326.
HADJIISKI, V.H.: Vitushkin's type theorems for meromorphic approximation on unbounded sets, Proc. of the Conf. on Complex Anal. and Appl., Varna 1981, to appear.
HOISCHEN, L.: A note on the approximation of continuous functions by integral functions, J. London Math. Soc. 42 (1967), 351–354.
HOISCHEN, L.: Eine Verschärfung eines Approximationsatzes von Carleman, J. Approx. Theory 9 (1973), 272–277.
KAPLAN, W.: Approximation by entire functions, Michigan Math J. 3 (1955–1956) 43–52.
KELDYCH, M. and LAVRENTIEFF, M.: Sur un problème de M. Carleman, C.R. (Doklady) Acad. Sci. URSS 23 (1939), 746–748.
MELNIKOV, M.S.: A bound for the Cauchy integral along an analytic curve, Mat. Sh. (N.S.) 71 (113) (1966), 503–514 (Russian).
NERSESJAN, A.H.: On Carleman sets, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 6 (1971), 465–471 (Russian)
NERSESJAN, A.H.: On uniform and tangential approximation by meromorphic functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 7 (1972), 405–412 (Russian).
NEVANLINNA, R.: Analytic Functions, Springer-Verlag, New York-Heidelberg-Berlin (1970).
ROTH, A.: Approximationseigenshaften und Strahlengrenzwerte meromorpher und ganzen Funktionen, Comment. Math. Helv. 11 (1938), 77–125.
ROTH, A.: Uniform and tangential approximation by meromorphic functions on closed sets, Can. J. Math. 28 (1976), 104–111.
SINCLAIR, A.: A general solution for a class of approximation problems, Pacific J. Math. 8 (1958), 857–866.
VITUSHKIN, A.G.: A bound for the Cauchy integral, Mat. Sb. (N.S.) 71 (113) (1966), 515–535 (Russian).
ZALCMAN, L.: Analytic capacity and rational approximation, Lecture Notes No 50, Springer-Verlag, Berlin-Heidelberg-New York (1968).
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Boivin, A. (1983). On Carleman approximation by meromorphic functions. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073355
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