S. I. Bezrodnykh, “On the Analytic Continuation of the Lauricella Function $F_D^{(N)}$”, Mat. Zametki, 100:2 (2016), 296–302; Math. Notes, 100:2 (2016), 318

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Matematicheskie Zametki, 2016, Volume 100, Issue 2, Pages 296–302
DOI: https://doi.org/10.4213/mzm11205 (Mi mzm11205)

This article is cited in 7 scientific papers (total in 7 papers)

Brief Communications

On the Analytic Continuation of the Lauricella Function

F_{D}^{(N)}

$F_D^{(N)}$

S. I. Bezrodnykh^abc

^a Peoples Friendship University of Russia, Moscow
^b Lomonosov Moscow State University, P. K. Sternberg Astronomical Institute
^c Dorodnitsyn Computing Centre of the Federal Research Center "Computer Science and Control" of Russian Academy of Sciences

Full-text PDF (403 kB) Citations (7)

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DOI: https://doi.org/10.4213/mzm11205

Keywords: hypergeometric function of many variables, Lauricella function, analytic continuation, Christoffel–Schwarz integral.

Funding agency	Grant number
Russian Foundation for Basic Research	16-01-00781 16-07-01195
This work was financially supported by the Ministry of Education and Science of the Russian Federation on the Program for Increasing the Competitiveness of Peoples' Friendship University among Leading Research and Educational Centers in 2016–2020, by the Russian Foundation for Basic Research under grants 16-01-00781 and 16-07-01195, and by the program of the Russian Academy of Sciences “Contemporary Problems of Theoretical Mathematics” (project “Optimal algorithms for the solution of problems of mathematical physics”).

Received: 25.02.2016

English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 318–324
DOI: https://doi.org/10.1134/S0001434616070282

Bibliographic databases:

Document Type: Article

UDC: 517.968

Language: Russian

Citation: S. I. Bezrodnykh, “On the Analytic Continuation of the Lauricella Function

F_{D}^{(N)}

$F_D^{(N)}$ ”, Mat. Zametki, 100:2 (2016), 296–302; Math. Notes, 100:2 (2016), 318–324

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm11205

https://doi.org/10.4213/mzm11205

https://www.mathnet.ru/eng/mzm/v100/i2/p296

This publication is cited in the following 7 articles:

Bezrodnykh S.I., “Analytic Continuation of Lauricella'S Functions F-a((N)), F-B((N)) and F-D((N))”, Integral Transform. Spec. Funct., 31:11 (2020), 921–940
Bezrodnykh S.I., “Analytic Continuation of the Horn Hypergeometric Series With An Arbitrary Number of Variables”, Integral Transform. Spec. Funct., 31:10 (2020), 788–803
S. Bezrodnykh, A. Bogatyrev, S. Goreinov, O. Grigor'ev, H. Hakula, M. Vuorinen, “On capacity computation for symmetric polygonal condensers”, J. Comput. Appl. Math., 361 (2019), 271–282
J. Berge, R. Massey, Q. Baghi, P. Touboul, “Exponential shapelets: basis functions for data analysis of isolated features”, Mon. Not. Roy. Astron. Soc., 486:1 (2019), 544–559
S. I. Bezrodnykh, “Analytic continuation of the Lauricella function with arbitrary number of variables”, Integral Transforms Spec. Funct., 29:1 (2018), 21–42
S. I. Bezrodnykh, “The Lauricella hypergeometric function $F_D^{(N)}$ , the Riemann–Hilbert problem, and some applications”, Russian Math. Surveys, 73:6 (2018), 941–1031
S. I. Bezrodnykh, “Analytic continuation of the Appell function $F_1$ and integration of the associated system of equations in the logarithmic case”, Comput. Math. Math. Phys., 57:4 (2017), 559–589

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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