Indian Journal of Science and Technology.
Indian Society for Education and Environment.
Vol. 9.
2016.
Jacobi-type differential relations for the Lauricella function FD (N)
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. © 2016, Pleiades Publishing, Ltd.
Authors
Bezrodnykh S.I.
1,
2,
3
Journal
Number of issue
5-6
Language
English
Pages
821-833
Status
Published
Link
Volume
99
Year
2016
Organizations
- 1 Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, Russian Federation
- 2 Sternberg State Astronomical Institute, Lomonosov Moscow State University, Moscow, Russian Federation
- 3 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
Christoffel–Schwarz integral; Gauss function; generalized Lauricella hypergeometric function; Jacobi identity; Jacobi-type differential relation
Share
Other records
Proceedings of the Steklov Institute of Mathematics.
Vol. 293.
2016.
P. 194-208