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Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 59X/5 ( reviews)

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Book Synopsis Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials by : Alouf Jirari

Download or read book Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials written by Alouf Jirari. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: This memoir presents machinery for analyzing many discrete physical situations, and should be of interest to physicists, engineers, and mathematicians. We develop a theory for regular and singular Sturm-Liouville boundary value problems for difference equations, generalizing many of the known results for differential equations. We discuss the self-adjointness of these problems as well as their abstract spectral resolution in the appropriate [italic capital]L2 setting, and give necessary and sufficient conditions for a second-order difference operator to be self-adjoint and have orthogonal polynomials as eigenfunctions.

Second-order Sturm-Liouville Differential Equations and Orthogonal Polynomials with Their Applications

1996 Functions, Orthogonal
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Release : 1996
Genre : Functions, Orthogonal
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Book Synopsis Second-order Sturm-Liouville Differential Equations and Orthogonal Polynomials with Their Applications by : Samir A. Wazzi

Download or read book Second-order Sturm-Liouville Differential Equations and Orthogonal Polynomials with Their Applications written by Samir A. Wazzi. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Sturm-Liouville Theory

2005-12-05 Mathematics
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Release : 2005-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 598/5 ( reviews)

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Book Synopsis Sturm-Liouville Theory by : Werner O. Amrein

Download or read book Sturm-Liouville Theory written by Werner O. Amrein. This book was released on 2005-12-05. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

Frontiers In Orthogonal Polynomials And Q-series

2018-01-12 Mathematics
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Release : 2018-01-12
Genre : Mathematics
Kind : eBook
Book Rating : 89X/5 ( reviews)

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Book Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed

Download or read book Frontiers In Orthogonal Polynomials And Q-series written by M Zuhair Nashed. This book was released on 2018-01-12. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

Special Functions and Generalized Sturm-Liouville Problems

2020-01-25 Mathematics
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Release : 2020-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 201/5 ( reviews)

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Book Synopsis Special Functions and Generalized Sturm-Liouville Problems by : Mohammad Masjed-Jamei

Download or read book Special Functions and Generalized Sturm-Liouville Problems written by Mohammad Masjed-Jamei. This book was released on 2020-01-25. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. Further, it describes the conditions under which the usual Sturm-Liouville problems with symmetric solutions can be extended to a larger class, particularly highlighting the solutions of generalized problems that result in new orthogonal sequences of continuous or discrete functions. Sturm-Liouville theory is central to problems in many areas, such as engineering, mathematics, physics, and biology. This accessibly written book on the topic is a valuable resource for a broad interdisciplinary readership, from novices to experts.

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