Email this article Analytic complexity of differential algebraic functions
- Authors: Stepanova M.A.1
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Affiliations:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Issue: Vol 210, No 12 (2019)
- Pages: 120-135
- Section: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/133307
- DOI: https://doi.org/10.4213/sm9146
- ID: 133307
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Abstract
Examples of differential algebraic functions with infinite analytic complexity are constructed. The fact of their existence implies that the class of differential algebraic functions is wider than the class of functions with finite complexity. Bibliography: 6 titles.
About the authors
Mariya Aleksandrovna Stepanova
Lomonosov Moscow State University, Faculty of Mechanics and Mathematicswithout scientific degree, no status
References
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- V. K. Beloshapka, “Analytic complexity of functions of two variables”, Russ. J. Math. Phys., 14:3 (2007), 243–249
- V. K. Beloshapka, “Analytical complexity: development of the topic”, Russ. J. Math. Phys., 19:4 (2012), 428–439
- Т. М. Садыков, “Об аналитической сложности гипергеометрических функций”, Комплексный анализ и его приложения, Сборник статей. К 100-летию со дня рождения Бориса Владимировича Шабата, 85-летию со дня рождения Анатолия Георгиевича Витушкина и 85-летию со дня рождения Андрея Александровича Гончара, Тр. МИАН, 298, МАИК «Наука/Интерпериодика», М., 2017, 267–275
- V. K. Beloshapka, “Decomposition of functions of finite analytical complexity”, Журн. СФУ. Сер. Матем. и физ., 11:6 (2018), 680–685
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