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＜電子ブック＞
Special Functions and Generalized Sturm-Liouville Problems / by Mohammad Masjed-Jamei
(Frontiers in Mathematics. ISSN:16608054)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2020
大きさ	XI, 313 p. 107 illus., 2 illus. in color : online resource
著者標目	*Masjed-Jamei, Mohammad author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Special functions FREE:Differential Equations FREE:Special Functions
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-32820-7

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