A given polynomial is transformed herein into a rational function. All the roots and multiplicities of the polynomial are then easily obtained from the poles and residues of this rational function, ...

The multiplicity will be the number of times of particular factor will appear in the factors of a polynomial. When a zero has the multiplicity of one that function will pass through the X intercept.

Abstract In this paper, we study the problem of meromorphic functions that share one small function of differential polynomial with their derivatives and prove one theorem. The theorem improves the ...

The derivation and implementation of many algorithms in signal/image processing and control involve some form of polynomial root-finding and/or matrix eigendecomposition. In this paper, higher order ...