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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]  CiNii Books  Calil
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.
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