Special Functions and Generalized Sturm-Liouville Problems
Springer International Publishing (Verlag)
978-3-030-32819-1 (ISBN)
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.
Generalized Sturm-Liouville Problems in Continuous Spaces.- Generalized Sturm-Liouville Problems in Discrete Spaces.- Generalized Sturm-Liouville Problems in q-spaces.
| Erscheinungsdatum | 28.01.2020 |
|---|---|
| Reihe/Serie | Frontiers in Mathematics |
| Zusatzinfo | XI, 313 p. 107 illus., 2 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 168 x 240 mm |
| Gewicht | 558 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | generalized Sturm-Liouville problems • hypergeometric difference and differential equatio • hypergeometric difference and differential equations • Ordinary differential equations • orthogonal polynomials • Special Functions • symmetric spaces |
| ISBN-10 | 3-030-32819-8 / 3030328198 |
| ISBN-13 | 978-3-030-32819-1 / 9783030328191 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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