On circuit-theory polynomial classes

1 September 1973

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory

Vol. 20 (5) , 603-605
https://doi.org/10.1109/tct.1973.1083720

Abstract

The polynomial solutions of the equationfy" + gy' + {\lambda}y = 0are obtained and classified forf, 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.

Keywords

POLYNOMIALS
CIRCUIT THEORY
JACOBIAN MATRICES
FILTERS
DESIGN AUTOMATION
FREQUENCY DOMAIN ANALYSIS
TRANSFER FUNCTIONS
DIFFERENTIAL EQUATIONS

This publication has 2 references indexed in Scilit:

Orthogonal Polynomials Used in Filter Synthesis
IEEE Transactions on Circuit Theory, 1969
A new class of orthogonal polynomials: The Bessel polynomials
Transactions of the American Mathematical Society, 1949