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Record Nr. |
UNINA9910484213903321 |
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Autore |
Masjed-Jamei Mohammad |
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Titolo |
Special Functions and Generalized Sturm-Liouville Problems / / by Mohammad Masjed-Jamei |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (XI, 313 p. 107 illus., 2 illus. in color.) |
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Collana |
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Frontiers in Mathematics, , 1660-8046 |
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Disciplina |
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Soggetti |
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Differential equations |
Functions, Special |
Ordinary Differential Equations |
Special Functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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