Academic Journal
Inner products involving differences: The Meixner-Sobolev polynomials
| العنوان: | Inner products involving differences: The Meixner-Sobolev polynomials |
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| المؤلفون: | Area, Iván, Godoy, Eduardo, Marcellán Español, Francisco José |
| بيانات النشر: | Taylor & Francis |
| سنة النشر: | 2000 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | Meixner polynomials, Sobolev orthogonal polynomials, Difference operators, Pollaczek polynomials, Zeros of orthogonal polynomials, Polynomial approximation, Matemáticas |
| الوصف: | 31 pages, no figures.-- MSC2000 codes: 33C45, 33D45, 39A10, 39A70, 42C05. ; MR#: MR1752153 (2000m:33006) ; Zbl#: Zbl 0948.33004 ; In this paper, polynomials which are orthogonal with respect to the inner product $$\langle p,q\rangle_S= \sum infty_{s=0} p(s)q(s) {\mu \Gamma (\gamma+s) \over\Gamma(s+1) \Gamma (\gamma)}+ \lambda \sum infty_{s=0} \Delta p(s)\Delta q(s){\mu \Gamma(\gamma+s) \over\Gamma (s+1)\Gamma (\gamma)},$$ where $0<\mu<1$, $\gamma>0$, $\lambda\ge 0$ are studied. For these polynomials, algebraic properties and difference equations are obtained as well as their relation with the Meixner polynomials. Moreover, some properties about the zeros of these polynomials are deduced. ; The work of I.A. and E.G. has been partially supported by Xunta de Galicia-Universidade de Vigo under grant 64502I703. E.G. also wishes to acknowledge partial support by Dirección General de Enseñanza Superior (DGES) of Spain under grant PB-95-0828. The research of F.M. was partially supported by DGES of Spain under Grant PB96-1020-C03-01 and INTAS Project 93-0219 Ext. ; Publicado |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1023-6198 |
| Relation: | http://dx.doi.org/10.1080/10236190008808211; Journal of Difference Equations and Applications, 2000, vol. 6, n. 1, p. 1-31; http://hdl.handle.net/10016/6156 |
| DOI: | 10.1080/10236190008808211 |
| الاتاحة: | http://hdl.handle.net/10016/6156 https://doi.org/10.1080/10236190008808211 |
| Rights: | © Taylor & Francis ; open access |
| رقم الانضمام: | edsbas.1B0147F1 |
| قاعدة البيانات: | BASE |
| تدمد: | 10236198 |
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| DOI: | 10.1080/10236190008808211 |