Jacobi-Type Differential Relations for the Lauricella Functionстатья
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Дата последнего поиска статьи во внешних источниках: 2 ноября 2016 г.
Аннотация: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.