کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509689 | 1632062 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Î-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let {Qn(x)}n be the sequence of monic polynomials orthogonal with respect to the Sobolev-type inner productãp(x),r(x)ãS=ãu0,p(x)r(x)ã+λãu1,(Îp)(x)(Îr)(x)ã,where λ⩾0, (Îf)(x)=f(x+1)-f(x) denotes the forward difference operator and (u0,u1) is a Î-coherent pair of positive-definite linear functionals being u1 the Meixner linear functional. In this paper, relative asymptotics for the {Qn(x)}n sequence with respect to Meixner polynomials on compact subsets of C⧹[0,+â) is obtained. This relative asymptotics is also given for the scaled polynomials. In both cases, we deduce the same asymptotics as we have for the self-Î-coherent pair, that is, when u0=u1 is the Meixner linear functional. Furthermore, we establish a limit relation between these orthogonal polynomials and the Laguerre-Sobolev orthogonal polynomials which is analogous to the one existing between Meixner and Laguerre polynomials in the Askey scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 178, Issues 1â2, 1 June 2005, Pages 21-36
Journal: Journal of Computational and Applied Mathematics - Volume 178, Issues 1â2, 1 June 2005, Pages 21-36
نویسندگان
I. Area, E. Godoy, F. Marcellán, J.J. Moreno-Balcázar,