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Diamond, Jack

The Schneider-Lang theorem for functions with essential singularities. (English) Zbl 0439.10023

Proc. Am. Math. Soc. 80, 223-226 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

11J81 Transcendence (general theory)
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination

Keywords:

Schwarz’s lemma; Schneider-Lang theorem

Citations:

Zbl 0318.10024; Zbl 0341.10031
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References:

[1] Daniel Bertrand, Un théorème de Schneider-Lang sur certains domaines non simplement connexes, Séminaire Delange-Pisot-Poitou (16e année: 1974/75), Théorie des nombres, Fasc. 2, Exp. No. G18, Secrétariat Mathématique, Paris, 1975, pp. 13 (French). · Zbl 0318.10024
[2] Daniel Bertrand, Séries d’Eisenstein et transcendance, Bull. Soc. Math. France 104 (1976), no. 3, 309 – 321. · Zbl 0341.10031
[3] Serge Lang, Introduction to transcendental numbers, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. · Zbl 0144.04101
[4] Prolongement analytique et algèbres de Banach ultramétriques, Société Mathématique de France, Paris, 1973 (French). Astérisque, No. 10.
[5] Michel Waldschmidt, Nombres transcendants, Lecture Notes in Mathematics, Vol. 402, Springer-Verlag, Berlin-New York, 1974 (French). · Zbl 0302.10030
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