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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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
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| Physical Description: | 1 online resource (XVI) |
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Costabile, Francesco Aldo, author. aut http://id.loc.gov/vocabulary/relators/aut Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / Francesco Aldo Costabile. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (XVI) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 72 Frontmatter -- Preface -- Acknowledgment -- Contents -- Acronyms -- Part I: Introduction -- 1. Preliminaries and notations -- 2. Particular matrices and their connections with formal power series -- Part II: Polynomial sequences of binomial type -- 3. Binomial polynomial sequences -- 4. Applications to linear interpolation and operators approximation theory -- 5. Examples -- Part III: Appell polynomial sequences -- 6. Appell polynomial sequences -- 7. Application to linear interpolation and approximation theory -- 8. Examples -- Part IV: Sheffer polynomial sequences -- 9. Sheffer polynomial sequence -- 10. Applications to linear interpolation and operators approximation theory -- 11. Examples -- Part V: Lidstone polynomial sequences -- 12. Lidstone-type polynomial sequences -- 13. Application to linear interpolation and operators approximation theory -- 14. Examples -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Algebras, Linear. Calculus Textbooks. Calculus. Interpolation. Näherungsverfahren. Umbral-Kalkül. MATHEMATICS / Numerical Analysis. bisacsh Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA EPUB 9783110650099 print 9783110649963 https://doi.org/10.1515/9783110652925 https://www.degruyter.com/isbn/9783110652925 Cover https://www.degruyter.com/document/cover/isbn/9783110652925/original |
| language |
English |
| format |
eBook |
| author |
Costabile, Francesco Aldo, Costabile, Francesco Aldo, |
| spellingShingle |
Costabile, Francesco Aldo, Costabile, Francesco Aldo, Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / De Gruyter Studies in Mathematics , Frontmatter -- Preface -- Acknowledgment -- Contents -- Acronyms -- Part I: Introduction -- 1. Preliminaries and notations -- 2. Particular matrices and their connections with formal power series -- Part II: Polynomial sequences of binomial type -- 3. Binomial polynomial sequences -- 4. Applications to linear interpolation and operators approximation theory -- 5. Examples -- Part III: Appell polynomial sequences -- 6. Appell polynomial sequences -- 7. Application to linear interpolation and approximation theory -- 8. Examples -- Part IV: Sheffer polynomial sequences -- 9. Sheffer polynomial sequence -- 10. Applications to linear interpolation and operators approximation theory -- 11. Examples -- Part V: Lidstone polynomial sequences -- 12. Lidstone-type polynomial sequences -- 13. Application to linear interpolation and operators approximation theory -- 14. Examples -- Bibliography -- Index |
| author_facet |
Costabile, Francesco Aldo, Costabile, Francesco Aldo, |
| author_variant |
f a c fa fac f a c fa fac |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Costabile, Francesco Aldo, |
| title |
Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / |
| title_sub |
An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / |
| title_full |
Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / Francesco Aldo Costabile. |
| title_fullStr |
Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / Francesco Aldo Costabile. |
| title_full_unstemmed |
Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / Francesco Aldo Costabile. |
| title_auth |
Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / |
| title_alt |
Frontmatter -- Preface -- Acknowledgment -- Contents -- Acronyms -- Part I: Introduction -- 1. Preliminaries and notations -- 2. Particular matrices and their connections with formal power series -- Part II: Polynomial sequences of binomial type -- 3. Binomial polynomial sequences -- 4. Applications to linear interpolation and operators approximation theory -- 5. Examples -- Part III: Appell polynomial sequences -- 6. Appell polynomial sequences -- 7. Application to linear interpolation and approximation theory -- 8. Examples -- Part IV: Sheffer polynomial sequences -- 9. Sheffer polynomial sequence -- 10. Applications to linear interpolation and operators approximation theory -- 11. Examples -- Part V: Lidstone polynomial sequences -- 12. Lidstone-type polynomial sequences -- 13. Application to linear interpolation and operators approximation theory -- 14. Examples -- Bibliography -- Index |
| title_new |
Modern Umbral Calculus : |
| title_sort |
modern umbral calculus : an elementary introduction with applications to linear interpolation and operator approximation theory / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2019 |
| physical |
1 online resource (XVI) Issued also in print. |
| contents |
Frontmatter -- Preface -- Acknowledgment -- Contents -- Acronyms -- Part I: Introduction -- 1. Preliminaries and notations -- 2. Particular matrices and their connections with formal power series -- Part II: Polynomial sequences of binomial type -- 3. Binomial polynomial sequences -- 4. Applications to linear interpolation and operators approximation theory -- 5. Examples -- Part III: Appell polynomial sequences -- 6. Appell polynomial sequences -- 7. Application to linear interpolation and approximation theory -- 8. Examples -- Part IV: Sheffer polynomial sequences -- 9. Sheffer polynomial sequence -- 10. Applications to linear interpolation and operators approximation theory -- 11. Examples -- Part V: Lidstone polynomial sequences -- 12. Lidstone-type polynomial sequences -- 13. Application to linear interpolation and operators approximation theory -- 14. Examples -- Bibliography -- Index |
| isbn |
9783110652925 9783110762464 9783110719567 9783110494938 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 9783110650099 9783110649963 |
| issn |
0179-0986 ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA303 |
| callnumber-sort |
QA 3303.2 C68 42019 |
| genre_facet |
Textbooks. |
| url |
https://doi.org/10.1515/9783110652925 https://www.degruyter.com/isbn/9783110652925 https://www.degruyter.com/document/cover/isbn/9783110652925/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515 |
| dewey-sort |
3515 |
| dewey-raw |
515 |
| dewey-search |
515 |
| doi_str_mv |
10.1515/9783110652925 |
| oclc_num |
1104719887 |
| work_keys_str_mv |
AT costabilefrancescoaldo modernumbralcalculusanelementaryintroductionwithapplicationstolinearinterpolationandoperatorapproximationtheory |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)515951 (OCoLC)1104719887 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 |
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Modern Umbral Calculus : An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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1806144504827215872 |
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