A product representation for power series
Arnold Knopfmacher, John Knopfmacher · Complex Variables Theory and Application An International Journal · 1988
Two algorithms are introduced and shown to lead to a unique product represenatation for a given formal power series 4 with constant term 1. as a product of terms where the a n are polynomials. The degree of approximation by the rational function which is the Nth partial product of such terms for n≤N is investigated. The type of product corresponding to an initial rational function A is also characterized, as well as the product in some other explicit cases.