Abstract
For the generalized Lauricella hypergeometric function F (N) D , Jacobi-type differential relations are obtained and their proof is given. A new system of partial differential equations for the function F (N) D 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.
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Original Russian Text © S. I. Bezrodnykh, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 6, pp. 832–847.
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Bezrodnykh, S.I. Jacobi-type differential relations for the Lauricella function F (N) D . Math Notes 99, 821–833 (2016). https://doi.org/10.1134/S0001434616050205
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DOI: https://doi.org/10.1134/S0001434616050205