کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4637949 | 1631983 | 2016 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalized 2D Laguerre polynomials and their quaternionic extensions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A class of orthogonal polynomials in two quaternionic variables is introduced. This class serves as an analogous to the classical Zernike polynomials Zm,n(β)(z,z¯) (arXiv:1502.07256, 2014). A number of interesting properties such as the orthogonality condition, recurrence relations, raising and lowering operators are discussed in detail. Particularly, the ladder operators, realized as differential operators in terms of the so-called Cullen derivatives, for these quaternionic polynomials are also studied. Some physically interesting summation and integral formulas are also proved, and their physical relevance briefly discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 308, 15 December 2016, Pages 301–317
Journal: Journal of Computational and Applied Mathematics - Volume 308, 15 December 2016, Pages 301–317
نویسندگان
Nasser Saad, K. Thirulogasanthar,