New characterizations of classical orthogonal polynomials
Article Properties
-
LanguageEnglish
-
DOI (url)
-
Publication Date1996/06/01
-
Journal
-
Indian UGC (journal)
-
Refrences19
-
Citations9
-
K.H. Kwon
-
L.L. Littlejohn
-
B.H. Yoo
Journal Category
Science
Mathematics
You May Also Like
- Entropy Dissipation Methods for Degenerate ParabolicProblems and Generalized Sobolev Inequalities
- Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds
- Kinetic Models for Chemotaxis and their Drift-Diffusion Limits
- Some Approximation Theorems via Statistical Convergence
- Compound matrices and ordinary differential equations
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Distributional Weight Functions for Orthogonal Polynomials | SIAM Journal on Mathematical Analysis |
| 43 | 1978 |
| Characterizations of orthogonal polynomials satisfying differential equations | SIAM Journal on Mathematical Analysis |
| 1994 | |
| Variations around classical orthogonal polynomials. Connected problems | Journal of Computational and Applied Mathematics |
| 81 | 1993 |
| Characterizations of classical orthogonal polynomials | 1993 | |||
| Prolégomènes a l'étude des polynomes orthonaux semi-classiques | 1987 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 7 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 2 |
The category
Science: Mathematics 7
is the most frequently represented among the references in this article. It primarily includes studies from Bulletin of the American Mathematical Society and Mathematische Zeitschrift. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Operational Methods in the Study of Sobolev-Jacobi Polynomials | Mathematics |
| 6 | 2019 |
| Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation | Annali di Matematica Pura ed Applicata (1923 -) |
| 2014 | |
| Characterization and construction of classical orthogonal polynomials using a matrix approach | Linear Algebra and its Applications |
| 12 | 2013 |
| New results on the Bochner condition about classical orthogonal polynomials | Journal of Mathematical Analysis and Applications |
| 8 | 2010 |
Inequalities of Chernoff type for finite and infinite sequences of classical orthogonal polynomials | Proceedings of the American Mathematical Society |
| 2009 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 9 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 7 |
The category
Science: Mathematics 9
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A characterization of Hermite polynomials and was published in 1997. The most recent citation comes from a 2019 study titled Operational Methods in the Study of Sobolev-Jacobi Polynomials. This article reached its peak citation in 1997, with 2 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Journal of Computational and Applied Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.