General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints
An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/9/964 |
| _version_ | 1797536329786982400 |
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| author | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli |
| author_facet | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli |
| author_sort | Francesco Aldo Costabile |
| collection | DOAJ |
| description | An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched. New and known examples of bivariate Appell polynomial sequences are given. |
| first_indexed | 2024-03-10T11:58:10Z |
| format | Article |
| id | doaj.art-a5fff993ffd44a9285b55b8e2d59c87e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T11:58:10Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a5fff993ffd44a9285b55b8e2d59c87e2023-11-21T17:07:50ZengMDPI AGMathematics2227-73902021-04-019996410.3390/math9090964General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation HintsFrancesco Aldo Costabile0Maria Italia Gualtieri1Anna Napoli2Department of Mathematics and Computer Science, University of Calabria, 87036 Rende (CS), ItalyDepartment of Mathematics and Computer Science, University of Calabria, 87036 Rende (CS), ItalyDepartment of Mathematics and Computer Science, University of Calabria, 87036 Rende (CS), ItalyAn approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched. New and known examples of bivariate Appell polynomial sequences are given.https://www.mdpi.com/2227-7390/9/9/964Polynomial sequencesAppell polynomialsbivariate Appell sequence |
| spellingShingle | Francesco Aldo Costabile Maria Italia Gualtieri Anna Napoli General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints Mathematics Polynomial sequences Appell polynomials bivariate Appell sequence |
| title | General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints |
| title_full | General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints |
| title_fullStr | General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints |
| title_full_unstemmed | General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints |
| title_short | General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints |
| title_sort | general bivariate appell polynomials via matrix calculus and related interpolation hints |
| topic | Polynomial sequences Appell polynomials bivariate Appell sequence |
| url | https://www.mdpi.com/2227-7390/9/9/964 |
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