Equivalencia de dos definiciones analíticas de ?
DOI:
https://doi.org/10.22199/S07160917.1988.0014.00005Keywords:
equivalencia, Pi, analíticasAbstract
Este artículo demuestra lo equivalencia de dos definiciones onalíticas de ?. En 1 se plantea el problema. En 2 y 3 se presentan las definiciones de
y de
Knopp3, Rudin4). En *3.2 y *3.3 se prueban proposiciones aceptadas implícita o explícitamente en estos referencias. El autor propone y prueba los teoremas **2.8, **2.9 y **4.1, el último de los cuales demuestro que M = 2m.
Summary.
This paper proves the equivalence of two analytic definitions of ?. In 1 the problem is stated. In 2 and 3 definitions of
and
Knopp3, Rudin4). are presented. In *3.2 and *3.3 we prove propositions accepted implicitly or explicitly in these references. The author proposes and proves the theorems **2.8, **2.9 ond **4. 1, the last one proving that M = 2m.
References
2. Cartan, H., "Théorie élémentaire des fonctions analytiques d' une ou plusieurs variables complexes", Hermann, Paris (1961).
3. Knopp, K., "Theory and applications of infinite series", Blackie and Son, London (1954).
4. Rudin, W., "Principles of mathematical analysis", Mc Graw-Hill, New York (1964).
Published
How to Cite
Issue
Section
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
