Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications
Orthogonal polynomials and special functions are two well-established streams of research in mathematical sciences. As is well known, they are considered classical and have seen many very interesting developments throughout the centuries, extending to original approaches and in-depth studies of the...
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| Formato: | Online |
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| Idioma: | inglês |
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MDPI - Multidisciplinary Digital Publishing Institute
2024
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| Acesso em linha: | ONIX_20240906_9783725818532_49 |
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| description | Orthogonal polynomials and special functions are two well-established streams of research in mathematical sciences. As is well known, they are considered classical and have seen many very interesting developments throughout the centuries, extending to original approaches and in-depth studies of the theoretical and/or applied problems considered. Since orthogonal polynomials and special functions are often used in applications, they have found use in various branches of mathematics (e.g., combinatorics, numerical analysis, representation theory, and number theory) and engineering, physics and astronomy, integrable systems, optics, quantum chemistry, computer science, etc. As such, the number of theoretical and applied problems solved using orthogonal polynomials and special functions is constantly growing. The aim of this Special Issue is to present recent trends and applications linked to orthogonal polynomials and special functions, mainly those pertaining to engineering mathematics and related topics. |
| format | Online |
| id | doab-20.500.12854ir-143687 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1436872024-09-06T08:05:11Z Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications Quintana, Yamilet Redheffer inequality Bessel functions Struve functions Dini functions Lommel functions q-Bessel functions stockwell transform two-dimensional fourier transform discretization frame integral inequalities strictly monotone functions functional inequalities cauchy power of linear functional cauchy exponential of linear functional weakly-regular linear functional regular linear functional positive-definite linear functional orthogonal polynomial sequence Du-Laguerre–Hahn operator Hermite polynomials Apostol-type polynomials degenerate Apostol-type polynomials orthogonal polynomials Sobolev orthogonality zeros location asymptotic behavior generalized degenerate Bernoulli polynomials generalized degenerate Euler polynomials generalized degenerate Bernoulli matrix generalized degenerate Euler matrix generalized degenerate Pascal matrix Jacobi polynomials second-order differential equation electrostatic model multivariate special polynomials monomiality principle explicit form operational connection symmetric identities summation formulae Laguerre weight exponential cubic weight ladder operators difference equations Coulomb fluid Gegenbauer polynomials generalized Bernoulli polynomials hypergeometric Bernoulli polynomials Golden Calculus Apostol-type Frobenius–Euler polynomials Apostol-type Frobenius–Euler–Fibonacci polynomials Stirling–Fibonacci numbers rational modifications Δh sequences Legendre–Appell polynomials explicit forms determinant form thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science Orthogonal polynomials and special functions are two well-established streams of research in mathematical sciences. As is well known, they are considered classical and have seen many very interesting developments throughout the centuries, extending to original approaches and in-depth studies of the theoretical and/or applied problems considered. Since orthogonal polynomials and special functions are often used in applications, they have found use in various branches of mathematics (e.g., combinatorics, numerical analysis, representation theory, and number theory) and engineering, physics and astronomy, integrable systems, optics, quantum chemistry, computer science, etc. As such, the number of theoretical and applied problems solved using orthogonal polynomials and special functions is constantly growing. The aim of this Special Issue is to present recent trends and applications linked to orthogonal polynomials and special functions, mainly those pertaining to engineering mathematics and related topics. 2024-09-06T08:05:03Z 2024-09-06T08:05:03Z 2024 book ONIX_20240906_9783725818532_49 9783725818532 9783725818549 https://directory.doabooks.org/handle/20.500.12854/143687 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9702 https://mdpi.com/books/pdfview/book/9702 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1854-9 10.3390/books978-3-7258-1854-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725818532 9783725818549 220 open access |
| spellingShingle | Redheffer inequality Bessel functions Struve functions Dini functions Lommel functions q-Bessel functions stockwell transform two-dimensional fourier transform discretization frame integral inequalities strictly monotone functions functional inequalities cauchy power of linear functional cauchy exponential of linear functional weakly-regular linear functional regular linear functional positive-definite linear functional orthogonal polynomial sequence Du-Laguerre–Hahn operator Hermite polynomials Apostol-type polynomials degenerate Apostol-type polynomials orthogonal polynomials Sobolev orthogonality zeros location asymptotic behavior generalized degenerate Bernoulli polynomials generalized degenerate Euler polynomials generalized degenerate Bernoulli matrix generalized degenerate Euler matrix generalized degenerate Pascal matrix Jacobi polynomials second-order differential equation electrostatic model multivariate special polynomials monomiality principle explicit form operational connection symmetric identities summation formulae Laguerre weight exponential cubic weight ladder operators difference equations Coulomb fluid Gegenbauer polynomials generalized Bernoulli polynomials hypergeometric Bernoulli polynomials Golden Calculus Apostol-type Frobenius–Euler polynomials Apostol-type Frobenius–Euler–Fibonacci polynomials Stirling–Fibonacci numbers rational modifications Δh sequences Legendre–Appell polynomials explicit forms determinant form thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title | Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title_full | Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title_fullStr | Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title_full_unstemmed | Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title_short | Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications |
| title_sort | orthogonal polynomials and special functions recent trends and their applications |
| topic | Redheffer inequality Bessel functions Struve functions Dini functions Lommel functions q-Bessel functions stockwell transform two-dimensional fourier transform discretization frame integral inequalities strictly monotone functions functional inequalities cauchy power of linear functional cauchy exponential of linear functional weakly-regular linear functional regular linear functional positive-definite linear functional orthogonal polynomial sequence Du-Laguerre–Hahn operator Hermite polynomials Apostol-type polynomials degenerate Apostol-type polynomials orthogonal polynomials Sobolev orthogonality zeros location asymptotic behavior generalized degenerate Bernoulli polynomials generalized degenerate Euler polynomials generalized degenerate Bernoulli matrix generalized degenerate Euler matrix generalized degenerate Pascal matrix Jacobi polynomials second-order differential equation electrostatic model multivariate special polynomials monomiality principle explicit form operational connection symmetric identities summation formulae Laguerre weight exponential cubic weight ladder operators difference equations Coulomb fluid Gegenbauer polynomials generalized Bernoulli polynomials hypergeometric Bernoulli polynomials Golden Calculus Apostol-type Frobenius–Euler polynomials Apostol-type Frobenius–Euler–Fibonacci polynomials Stirling–Fibonacci numbers rational modifications Δh sequences Legendre–Appell polynomials explicit forms determinant form thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | Redheffer inequality Bessel functions Struve functions Dini functions Lommel functions q-Bessel functions stockwell transform two-dimensional fourier transform discretization frame integral inequalities strictly monotone functions functional inequalities cauchy power of linear functional cauchy exponential of linear functional weakly-regular linear functional regular linear functional positive-definite linear functional orthogonal polynomial sequence Du-Laguerre–Hahn operator Hermite polynomials Apostol-type polynomials degenerate Apostol-type polynomials orthogonal polynomials Sobolev orthogonality zeros location asymptotic behavior generalized degenerate Bernoulli polynomials generalized degenerate Euler polynomials generalized degenerate Bernoulli matrix generalized degenerate Euler matrix generalized degenerate Pascal matrix Jacobi polynomials second-order differential equation electrostatic model multivariate special polynomials monomiality principle explicit form operational connection symmetric identities summation formulae Laguerre weight exponential cubic weight ladder operators difference equations Coulomb fluid Gegenbauer polynomials generalized Bernoulli polynomials hypergeometric Bernoulli polynomials Golden Calculus Apostol-type Frobenius–Euler polynomials Apostol-type Frobenius–Euler–Fibonacci polynomials Stirling–Fibonacci numbers rational modifications Δh sequences Legendre–Appell polynomials explicit forms determinant form thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20240906_9783725818532_49 |