## Finite Hilbert transform technique for triple integral equations involving trigonometric kernals and their applications: technical report on mixed-boundary value problems in elasticity and thermo-elasticity under C. S. I. R. grant no. 3(277) 68--GAU-II. |

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2n+l arbitrary constant b-a log Bessel functions boundary conditions boundary value problems C.J. Tranter calculations Chapter co-efficients considered by Tranter coplanar cosine crack energy cracks are opened determined displacement vector dual series equations dy dt e-ur elastic medium electrostatic potential elliptic integral finite Hilbert transform following set Fredholm equation Fredholm integral equation function A(u Griffith cracks h t2 h x2 hCx2 Hence hgCx2 integral equations involving iterative solution J A(u K.N. Srivastava known results Laplace's equation Lowengrub mixed boundary value obtain physical problems Pn(cos potential theory satisfied provided second kind set of equations set of triple sin(ur sinh sinh2 solution of triple solving stress intensity factors substituting the value surface charge density temperature theorem Thermo Three Part Mixed transform technique trial solution TRIGONO triple integral equations type of kernel ux(l values of A(u y p(y ZXy(X,y