دانلود کتاب Orthogonal Polynomials and Linear Functionals: An Algebraic Approach and Applications

Name: Orthogonal Polynomials and Linear Functionals: An Algebraic Approach and Applications
Availability: InStock
Author: Juan Carlos García-Ardila
ISBN: 3985470081,9783985470082

by Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga

عنوان فارسی: چند جمله ای متعامد و توابع خطی: رویکرد جبری و کاربردها
ناشر: European Mathematical Society
سال: 2021
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 129-130
شابک: 3985470081,9783985470082
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 1.68 مگابایت

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جزییات کتاب

This book presents an introduction to orthogonal polynomials, with an algebraic flavor, based on linear functionals defining the orthogonality and the Jacobi matrices associated with them. Basic properties of their zeros, as well as quadrature rules, are discussed. A key point is the analysis of those functionals satisfying Pearson equations (semiclassical case) and the hierarchy based on their class. The book's structure reflects the fact that its content is based on a set of lectures delivered by one of the authors at the first Orthonet Summer School in Seville, Spain in 2016. The presentation of the material is self contained and will be valuable to students and researchers interested in a novel approach to the study of orthogonal polynomials, focusing on their analytic properties.