This paper presents the symmetries of differential equations associated with one-variable and Bivariate Hermite polynomials by proposing a representation of Lie algebra sl 2,R for these differential ...

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

A method of iteration is developed in terms of a function of somewhat arbitrary character. Sufficient conditions are given for convergence of the process, yielding factors of arbitrary degree for ...

Abstract: We explore the codimension-one strata in the degree-one cohomology jumping loci of a finitely generated group, through the prism of the multivariable Alexander polynomial. As an application, ...

Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 1-46 (46 pages) The first part of this paper deals with problems concerning the symmetric algebra of complex-valued ...

Abstract: In this paper, we propose a design method for finite impulse response (FIR) variable digital filters (VDFs) obtaining quasi-equiripple characteristic even if notch frequencies change. The ...