科研之友
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摘要
In this paper we develop an analysis of the generalised Householder root finding scheme, and generate auto-identities for so called (Large) Schroder and Motzkin polynomials associated with their namesake sequences they are but two examples of polynomial families whose origin sequences each have an ordinary generating function satisfying a quadratic equation with functional coefficients. Properties of these polynomials are also given within the context of some new general theory. Connections with previous work involving Catalan polynomials are made throughout where appropriate.
- 出版日期2010-11
