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On Lagranges polynomials of three variables. (English) Zbl 0946.33007

Summary: The present paper introduces a three variables analogue of Lagrange polynomials and gives certain results involving these polynomials and the four Appell’s functions \(F_1, F_2, F_3\) and \(F_4\).

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33C65 Appell, Horn and Lauricella functions