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Matematicheskie Zametki, 2016, Volume 99, Issue 6, Pages 832–847
DOI: https://doi.org/10.4213/mzm11067 (Mi mzm11067) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Jacobi-Type Differential Relations for the Lauricella Function $F_D^{(N)}$

S. I. Bezrodnykhabc

a Peoples Friendship University of Russia, Moscow
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
c Lomonosov Moscow State University, P. K. Sternberg Astronomical Institute
Full-text PDF (588 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11067
Abstract: For the generalized Lauricella hypergeometric function $F_D^{(N)}$, Jacobi-type differential relations are obtained and their proof is given. A new system of partial differential equations for the function $F_D^{(N)}$ is derived. Relations between associated Lauricella functions are presented. These results possess a wide range of applications, including the theory of Riemann–Hilbert boundary-value problem.
Keywords: generalized Lauricella hypergeometric function, Jacobi-type differential relation, Jacobi identity, Gauss function, Christoffel–Schwarz integral.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00781
16-07-01195
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported 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: 19.01.2016
English version:
Mathematical Notes, 2016, Volume 99, Issue 6, Pages 821–833
DOI: https://doi.org/10.1134/S0001434616050205
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. I. Bezrodnykh, “Jacobi-Type Differential Relations for the Lauricella Function $F_D^{(N)}$”, Mat. Zametki, 99:6 (2016), 832–847; Math. Notes, 99:6 (2016), 821–833
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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