Details
Special Functions and Generalized Sturm-Liouville Problems
Frontiers in Mathematics
21,39 € |
|
Verlag: | Birkhäuser |
Format: | |
Veröffentl.: | 25.01.2020 |
ISBN/EAN: | 9783030328207 |
Sprache: | englisch |
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Beschreibungen
<p></p><p>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.</p><p>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.</p><br><p></p>
Generalized Sturm-Liouville Problems in Continuous Spaces.- Generalized Sturm-Liouville Problems in Discrete Spaces.- Generalized Sturm-Liouville Problems in q-spaces.
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.<p>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.</p><div><br></div>
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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