On the convergence of the even part of the branched continued fraction expansion of a ratio of Lauricella hypergeometric functionsF D (N)

We study the uniform and absolute convergence of the even part of the branched continued fraction that represents a ratio of Lauricella hypergeometric functions.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 7–9.