Certain classes of analytic functions of two real variables and their properties
Author:
Stefan Bergman
Journal:
Trans. Amer. Math. Soc. 57 (1945), 299-331
MSC:
Primary 36.0X
DOI:
https://doi.org/10.1090/S0002-9947-1945-0012370-8
Erratum:
Trans. Amer. Math. Soc. 58 (1945), 474.
MathSciNet review:
0012370
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References | Similar Articles | Additional Information
- Ludwig Baumgartner, Beiträge zur Theorie der ganzen Funktionen von zwei komplexen Veränderlichen, Monatsh. Math. Phys. 25 (1914), no. 1, 3–69 (German). MR 1548511, DOI https://doi.org/10.1007/BF01699700
- Stefan Bergmann, Über Kurvenintegrale von Funktionen zweier komplexen Veränderlichen, die die Differentialgleichung $\Delta V+V=0$ befriedigen, Math. Z. 32 (1930), no. 1, 386–406 (German). MR 1545172, DOI https://doi.org/10.1007/BF01194640 ---, Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen, Rec. Math. (Mat. Sbornik) N.S. vol. 2 (1937) pp. 1169-1198.
- Stefan Bergman, Linear operators in the theory of partial differential equations, Trans. Amer. Math. Soc. 53 (1943), 130–155. MR 7555, DOI https://doi.org/10.1090/S0002-9947-1943-0007555-9
- Stefan Bergman, The determination of some properties of a function satisfying a partial differential equation from its series development, Bull. Amer. Math. Soc. 50 (1944), 535–546. MR 10327, DOI https://doi.org/10.1090/S0002-9904-1944-08183-4
- Stefan Bergman, Solutions of linear partial differential equations of the fourth order, Duke Math. J. 11 (1944), 617–649. MR 10777 Rolf Nevanlinna, Théorème de Picard-Borel et la théorie des fonctions méromorphes, Paris, 1929. Jules Sire, Sur les fonctions entières de deux variables d’ordre apparent total fini, Rend. Circ. Mat. Palermo vol. 31 (1910) pp. 1-91. ---, Sur les fonctions entières de deux variables d’ordre apparent total fini et à croissance réguliere par rapport à l’une des variables, J. Math. Pures Appl. (6) vol. 9 (1913) pp. 1-37.
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© Copyright 1945
American Mathematical Society