This brief presents a necessary and sufficient condition for testing positive, real, imaginary, and negative rational functions. A related term, the positive, imaginary, and negative polynomial, is ...

PolyRat is a library for polynomial and rational approximation. Formally we can think of polynomials as a sum of powers of :. A rational function is a ratio of two polynomial functions. The goal of ...

Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression. Given in-band ripple level and positions of ...

The polynomial and rational function coefficients are computed in such a way that they not only satisfy the constraints of the E-method, but are also optimal. If you would like to find more technical ...

Rational Transfer Functions and Distributed Lag Models . How an input series enters the model is called its transfer function. Thus, ARIMA models with input series are sometimes referred to as ...

Lemma 2.3. Let be a function transcendental and meromorphic in the plane with growth order. Supposed that. If the homogeneous difference polynomials. or quotient of difference polynomials. is rational ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...