کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472756 698745 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized holomorphic Szegö kernel in 3D spheroids
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Generalized holomorphic Szegö kernel in 3D spheroids
چکیده انگلیسی

Monogenic orthogonal polynomials over 3D prolate spheroids were previously introduced and shown to have some remarkable properties. In particular, the underlying functions take values in the quaternions (identified with R4R4), and are generally assumed to be nullsolutions of the well known Moisil–Théodoresco system. In this paper, we show that these polynomial functions play an important role in defining the Szegö kernel function over the surface of 3D (prolate) spheroids. As a concrete application, we prove an explicit expression of the monogenic Szegö kernel function over 3D (prolate) spheroids and present two numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 65, Issue 4, February 2013, Pages 576–588
نویسندگان
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