This chapter begins from the observation that the fundamental solutions of the G‐L theory may be determined with the help of polynomial sequences on the time axis, the so‐called polynomials of thermoelasticity. A number of recurrence relations describing these polynomials is given, and then it is shown that a pair of thermoelastic polynomials can be identified with an element of the null space of a linear ordinary differential operator. On this basis, an integral relation and associated thermoelastic polynomials are developed.
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