Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory: 72 (De Gruyter Studies in Mathematics, 72) - Hardcover

Costabile, Francesco Aldo

 
9783110649963: Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory: 72 (De Gruyter Studies in Mathematics, 72)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Francesco Aldo Costabile, University of Calabria, Italy.

"About this title" may belong to another edition of this title.