We consider the evaluation of a recent generalization of the Epstein-Hubbell elliptic-type integral using the tau method approximation with a Chebyshev polynomial basis. This also leads to an approximation of Lauricella’s hypergeometric function of three variables. Numerical results are given for polynomial approximations of degree 6.

A novel Gaussian state estimator named Chebyshev Polynomial Kalman Filter is proposed that exploits the exact and closed-form calculation of posterior moments for polynomial nonlinearities. An arbitrary nonlinear system is at first approximated via a Chebyshev polynomial series. By exploiting special properties of the Chebyshev polynomials, exact expressions for mean and variance are then provi...

In this paper we will present an approach to realize FIR filters using Chebyshev Polynomials. Chebyshev polynomials play a vital role in antenna as well as in signal processing theory. The FIR filter design has also been disscussed previously [2-10], these papers discuss approximation methods, while the approach we will discuss in this paper gives exact design of FIR filter in Chebyshev sense. ...