Modern Umbral Calculus : : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / / Francesco Aldo Costabile.

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. Addition...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Studies in Mathematics , 72
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Physical Description:1 online resource (XVI)
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100 1 |a Costabile, Francesco Aldo,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Modern Umbral Calculus :  |b An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory /  |c Francesco Aldo Costabile. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2019] 
264 4 |c ©2019 
300 |a 1 online resource (XVI) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 72 
505 0 0 |t Frontmatter --   |t Preface --   |t Acknowledgment --   |t Contents --   |t Acronyms --   |t Part I: Introduction --   |t 1. Preliminaries and notations --   |t 2. Particular matrices and their connections with formal power series --   |t Part II: Polynomial sequences of binomial type --   |t 3. Binomial polynomial sequences --   |t 4. Applications to linear interpolation and operators approximation theory --   |t 5. Examples --   |t Part III: Appell polynomial sequences --   |t 6. Appell polynomial sequences --   |t 7. Application to linear interpolation and approximation theory --   |t 8. Examples --   |t Part IV: Sheffer polynomial sequences --   |t 9. Sheffer polynomial sequence --   |t 10. Applications to linear interpolation and operators approximation theory --   |t 11. Examples --   |t Part V: Lidstone polynomial sequences --   |t 12. Lidstone-type polynomial sequences --   |t 13. Application to linear interpolation and operators approximation theory --   |t 14. Examples --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Algebras, Linear. 
650 0 |a Calculus  |v Textbooks. 
650 0 |a Calculus. 
650 4 |a Interpolation. 
650 4 |a Näherungsverfahren. 
650 4 |a Umbral-Kalkül. 
650 7 |a MATHEMATICS / Numerical Analysis.  |2 bisacsh 
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