Modern Umbral Calculus

Released on by Francesco Aldo Costabile
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  • Modern Umbral Calculus Book Detail

  • Author : Francesco Aldo Costabile
  • Release Date : 2019-06-17
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Genre : Mathematics
  • Pages : 275
  • ISBN 13 : 3110650096
  • File Size : 14,14 MB
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Modern Umbral Calculus by Francesco Aldo Costabile PDF Summary

Book Description: 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.

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