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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 267–275
DOI: https://doi.org/10.1134/S0371968517030165 (Mi tm3827) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Analytic Complexity of Hypergeometric Functions

T. M. Sadykov

Plekhanov Russian University of Economics, Stremyannyi per. 36, Moscow, 117997 Russia
Full-text PDF (188 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968517030165
Abstract: Hypergeometric functions of several variables resemble functions of finite analytic complexity in the sense that the elements of both classes satisfy certain canonical overdetermined systems of partial differential equations. Otherwise these two sets of functions are very different. We investigate the relation between the two classes of functions and compute the analytic complexity of certain bivariate hypergeometric functions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.9577.2017/БЧ
This research was performed in the framework of the basic part of the scientific research state task in the field of scientific activity of the Ministry of Education and Science of the Russian Federation, project no. 2.9577.2017/BCh.
Received: March 15, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 248–255
DOI: https://doi.org/10.1134/S0081543817060165
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.953
Language: Russian
Citation: T. M. Sadykov, “On the Analytic Complexity of Hypergeometric Functions”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 267–275; Proc. Steklov Inst. Math., 298 (2017), 248–255
Citation in format AMSBIB
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\by T.~M.~Sadykov
\paper On the Analytic Complexity of Hypergeometric Functions
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 267--275
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3827}
\crossref{https://doi.org/10.1134/S0371968517030165}
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\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 298
\pages 248--255
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  • https://www.mathnet.ru/eng/tm/v298/p267
    • This publication is cited in the following 4 articles:
    1. Roman V. Ivanov, “The Semi-Hyperbolic Distribution and Its Applications”, Stats, 6:4 (2023), 1126  crossref
    2. Vitaly A. Krasikov, “Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems”, Zhurn. SFU. Ser. Matem. i fiz., 13:6 (2020), 718–732  mathnet  crossref
    3. M. A. Stepanova, “Analytic complexity of differential algebraic functions”, Sb. Math., 210:12 (2019), 1774–1787  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. V. A. Krasikov, “Analytic complexity of hypergeometric functions satisfying systems with holonomic rank two”, Computer Algebra in Scientific Computing (Casc 2019), Lecture Notes in Computer Science, 11661, ed. M. England, W. Koepf, T. Sadykov, W. Seiler, E. Vorozhtsov, Springer, 2019, 330–342  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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