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This paper deals with the study of the transcendental equations: sin(j + v)/(s + v) = ±sin(i -v)/(s -v), where v = (s2 -y2)'/2. These equations are obtained in the study of some boundary value problems for a modified biharmonic equation using the Papkovich-Fadle series. Some numerical solutions obtained with an iterative procedure are given.doi:10.2307/2007603 fatcat:wewuirrgijezrmtpdeeyt6mwdq