On circuit-theory polynomial classes

The polynomial solutions of the equation
fy" + gy' + {\lambda}y = 0
are obtained and classified for
f, g
, and
\lambda
-certain second-degree, firstdegree, and zero-degree polynomials, respectively. The classes of solutions are shown to include important sets of polynomials used in constructing amplitude functions, transfer functions, and driving-point functions used in circuit theory.