Email this article Jacobi-type differential relations for the Lauricella function FD(N)
- Authors: Bezrodnykh S.I.1,2,3
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Affiliations:
- Federal Research Center “Computer Science and Control,”
- Sternberg State Astronomical Institute
- Peoples’ Friendship University of Russia
- Issue: Vol 99, No 5-6 (2016)
- Pages: 821-833
- Section: Short Communications
- URL: https://journals.rcsi.science/0001-4346/article/view/149436
- DOI: https://doi.org/10.1134/S0001434616050205
- ID: 149436
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Abstract
For the generalized Lauricella hypergeometric function FD(N), Jacobi-type differential relations are obtained and their proof is given. A new system of partial differential equations for the function FD(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.
About the authors
S. I. Bezrodnykh
Federal Research Center “Computer Science and Control,”; Sternberg State Astronomical Institute; Peoples’ Friendship University of Russia
Author for correspondence.
Email: sbezrodnykh@mail.ru
Russian Federation, Moscow; Moscow; Moscow
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