Series solution of the telegraph equation

Abstract

Polynomial solutions and other sets of particulr solutions of the telegrph equation are constructed, and their relations with the heat and wave polynomials are established. Regions of convergence for series in terms of these functions are obtained and certian intial value problems for the telegraph equation can be solved in terms of these functions.

Keywords:

• telegraph polynomials
• complementary functions
• regions of convergence
• initial value problems