A new type of Taylor series expansion
| Autor: | Juan J. Nieto, Iván Area, Zahra Moalemi, Mohammad Masjed-Jamei |
|---|---|
| Přispěvatelé: | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
1202.23 Funciones Especiales
1202.07 Ecuaciones en Diferencias Jacobi and Laguerre polynomials 010103 numerical & computational mathematics Type (model theory) Integration by parts 01 natural sciences symbols.namesake Error analysis 1202.19 Ecuaciones Diferenciales Ordinarias ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Taylor series Discrete Mathematics and Combinatorics 0101 mathematics Mathematics lcsh:Mathematics Applied Mathematics Research 1202.02 Teoría de la Aproximación lcsh:QA1-939 Symbolic computation 010101 applied mathematics Algebra Generalized Taylor expansion symbols Laguerre polynomials Error bound Integral remainder 41A58 Analysis |
| Zdroj: | Journal of Inequalities and Applications Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela instname Investigo. Repositorio Institucional de la Universidade de Vigo Universidade de Vigo (UVigo) Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-10 (2018) |
| ISSN: | 1029-242X 1025-5834 |
| Popis: | We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic computation programs, i.e., only some very specific values can be computed by the mentioned programs. An error analysis is given in the sequel for the introduced expansion. The work of the first author has been supported by the Alexander von Humboldt Foundation under the grant number: Ref 3.4–IRN–1128637–GF-E. The third and fourth authors thank for the financial support from the Agencia Estatal de Innovación (AEI) of Spain under grant MTM2016–75140–P, co-financed by the European Community fund FEDER and Xunta de Galicia, grants GRC 2015–004 and R 2016/022 SI |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
| Nepřihlášeným uživatelům se plný text nezobrazuje | K zobrazení výsledku je třeba se přihlásit. |