Overview
- Presents a comprehensive reference text on topics in Sturm-Liouville theory in different spaces
- Serves as a reliable, accessible resource for newcomers to the subjects
- Authoritative and highly readable
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Special Functions and Generalized Sturm-Liouville Problems
Authors: Mohammad Masjed-Jamei
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-030-32820-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-32819-1Published: 26 January 2020
eBook ISBN: 978-3-030-32820-7Published: 25 January 2020
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XI, 313
Number of Illustrations: 105 b/w illustrations, 2 illustrations in colour