On linear recursions with nonnegative coefficients

AbstractWe characterize here linear recursions which imply a linear recursion with nonnegative coefficients

Some properties of two analytic functions associated with complex polynomials

Two basic analytic functions [alpha](z) and [beta](z) defined in domains depending on the location of the zeros of a complex polynomial P(z) are given by P'/P = n/(z - [alpha]) and P = (z - [beta])n. These functions are studied with respect to their growth and their Laurent expansion coefficients. Applications to the location of zeros of complex polynomials are indicated.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/23284/1/0000221.pd

Characteristic functional equations of polynomials and the morera-carleman theorem

Several characteristic functional equations satisfied by classes of polynomials of bounded degree are examined in connection with certain generalizations of the Morera-Carleman Theorem. Certain functional equations which have nonanalytic polynomial solutions are also considered.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43923/1/10_2005_Article_BF02188016.pd

A course in ordinary and partial differential equations

A Course in Ordinary and Partial Differential Equation