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Mathematical Notes

, Volume 99, Issue 5–6, pp 821–833 | Cite as

Jacobi-type differential relations for the Lauricella function F D (N)

  • S. I. Bezrodnykh
Short Communications
  • 47 Downloads

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 

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Federal Research Center “Computer Science and Control,”Russian Academy of SciencesMoscowRussia
  2. 2.Sternberg State Astronomical InstituteLomonosov Moscow State UniversityMoscowRussia
  3. 3.Peoples’ Friendship University of RussiaMoscowRussia

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