Special Functions and Generalized Sturm-Liouville Problems. 1st ed. 2020
- 種類:
- 電子ブック
- 責任表示:
- by Mohammad Masjed-Jamei
- 出版情報:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
- 著者名:
- シリーズ名:
- Frontiers in Mathematics ;
- ISBN:
- 9783030328207 [3030328201]
- 注記:
- 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. 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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
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