| Abstract: | A system of orthoexponential polynomials (OEP) orthogonal in the interval t ε 0, ∞) representing a special case of the orthoexponential Jacobi polynomials /1/ is studied. It is proposed to use the OEP as the kernels of an integral transformation (the OEP transformation) in time, since, compared with Laplace transformations, its use simplifies the procedure for obtaining the originals of the quantities required. The OEP transformation is used to solve the non-stationary equations of thermoelasticity and thermoviscoelasticity. The initial equations are reduced to the corresponding systems of ordinary triangular differential equations, and their general solutions are constructed. |
