Banerjea, Sudeshna; Mandal, B. N. On a singular integral equation with logarithmic and Cauchy kernel. (English) Zbl 0880.45003 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 279-283 (1995). Summary: A singular integral equation (SIE) of the first kind with a combination of logarithmic and Cauchy type kernel is solved in closed form. This SIE arises in linear water wave theory. Cited in 1 Document MSC: 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:closed form solution; singular integral equation; logarithmic kernel Cauchype kernel; linear water wave theory PDFBibTeX XMLCite \textit{S. Banerjea} and \textit{B. N. Mandal}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 279--283 (1995; Zbl 0880.45003)