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Modern Umbral Calculus
Francesco Aldo Costabile
其他書名
An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory
出版Walter de Gruyter GmbH & Co KG, 2019-06-17
主題Mathematics / Numerical AnalysisMathematics / CalculusMathematics / Mathematical AnalysisMathematics / General
ISBN31106529279783110652925
URLhttp://books.google.com.hk/books?id=o3icDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.