Special functions and generalized Sturm-Liouville problems

• 作者： Masjed-Jamei, Mohammad, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Frontiers in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Frontiers in mathematics,
• 主題： Sturm-Liouville equation. , Ordinary Differential Equations. , Special Functions.
• ISBN： 9783030328207 (electronic bk.) 、 9783030328191 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Generalized Sturm-Liouville Problems in Continuous Spaces -- Generalized Sturm-Liouville Problems in Discrete Spaces -- Generalized Sturm-Liouville Problems in q-spaces.
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• 摘要註: 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.
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