References
CH. Blair and L. Rubel, A universal entire function, Amer. Math. Monthly 90 (1983), 331–332; Addendum 732.
CH. Blair and L. Rubel, A triply universal entire function, L’Enseign. Math. 30 (1984), 269–274.
D. Gaier, Vorlesungen über Approximation im Komplexen. Birkhäuser (Basel, Boston, Stuttgart, 1980).
V.I. Gavrilov, A.N. Kanatnikov and C. Pighetti, Ensembles d’accumulation généralisés, C.R. Acad. Sci. Paris, Sér. I Math. 292 (1981), no. 7, 393–396.
V.I. Gavrilov and A.N. Kanatnikov, An example of a universal holomorphic function (in Russian), Dokl. Acad. Nauk SSSR 265 (1982), no. 2, 274–276.
A.N. Kanatnikov, Limiting sets along sequences or compacta, (in Russian), Dokl. Akad. Nauk SSSR 253 (1980), no. 1, 14–17.
W. Luh, Approximation by antiderivatives, accepted for publication in Constructive Approximation (1986).
S.N. Mergelyan, Uniform approximations of functions of a complex variable (in Russian), Uspehi Mat. Nauk. (N.S.) 7(2) (48) (1952), 31–122.
W. Rudin, Real and complex analysis. McGraw-Hill (New York-Toronto-London, 1966).
L. Tomm, Über die Summierbarkeit der geometrischen Reihe mit regulären Verfahren, Dissertation Ulm 1979.
L. Tomm and R. Trautner, A universal power series for approximation of measurable functions, Analvsis 2 (1982), 1–6.
Author information
Authors and Affiliations
Additional information
Dedicated to the Memory of Hans Wittich
Rights and permissions
About this article
Cite this article
Luh, W. On the “Universality” of any Holomorphic Function. Results. Math. 10, 130–136 (1986). https://doi.org/10.1007/BF03322369
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322369