Generalized Confluent Hypergeometric and Hypergeometric Transmission Lines

A proliferation of exact closed-form solutions of the telegrapher\´s equation for the voltage in an or lossless transmission line, with distributed series impedance and shunt admittance , respectively, have emerged in recent years. Generalizations of known solutions have been constructed, sometimes using ad hoc methods. A systematic method is described for deriving exact solutions in terms of standard transcendental functions, which yields far more general profiles for , or than previously given. Examples of the procedure are given based upon Bessel\´s, Whittaker\´s, and the hypergeometric equation, and previously derived profiles emerge as special cases of the analysis.