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Frontiers in Mathematics

Special Functions and Generalized Sturm-Liouville Problems

Authors: Masjed-Jamei, Mohammad

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  • 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
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  • ISBN 978-3-030-32820-7
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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.


Table of contents (3 chapters)

Table of contents (3 chapters)
  • Special Functions Generated by Generalized Sturm–Liouville Problems in Continuous Spaces

    Pages 1-155

    Masjed-Jamei, Mohammad

  • Special Functions Generated by Generalized Sturm–Liouville Problems in Discrete Spaces

    Pages 157-231

    Masjed-Jamei, Mohammad

  • Special Functions Generated by Generalized Sturm–Liouville Problems in q-Spaces

    Pages 233-309

    Masjed-Jamei, Mohammad

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-030-32820-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Special Functions and Generalized Sturm-Liouville Problems
Authors
Series Title
Frontiers in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-32820-7
DOI
10.1007/978-3-030-32820-7
Softcover ISBN
978-3-030-32819-1
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XI, 313
Number of Illustrations
105 b/w illustrations, 2 illustrations in colour
Topics

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