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Special Functions and Generalized Sturm-Liouville Problems

  • Mohammad Masjed-Jamei
Book
  • 329 Downloads

Part of the Frontiers in Mathematics book series (FM)

Table of contents

About this book

Introduction

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.


Keywords

special functions generalized Sturm-Liouville problems orthogonal polynomials hypergeometric difference and differential equations symmetric spaces

Authors and affiliations

  • Mohammad Masjed-Jamei
    • 1
  1. 1.Department of MathematicsK.N. Toosi University of TechnologyTehranIran

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-32820-7
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-32819-1
  • Online ISBN 978-3-030-32820-7
  • Series Print ISSN 1660-8046
  • Series Online ISSN 1660-8054
  • Buy this book on publisher's site