کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6421630 1631825 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials
چکیده انگلیسی
In this paper, we introduce the class of polynomials Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) suggested by the multivariate Laguerre polynomials. We give Schläfli's contour integral representation and calculate the fractional order integral of these polynomials. Furthermore, we obtain linear, multilinear and mixed multilateral generating functions for them. Finally, we construct a singular integral equation with Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) in the kernel and obtain the solution in terms of multivariate analogue of the Mittag-Leffler functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 229, 25 February 2014, Pages 350-358
نویسندگان
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