Special Functions and Generalized Sturm-Liouville Problems / / by Mohammad Masjed-Jamei

• Autore: Masjed-Jamei Mohammad
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020
• Edizione: 1st ed. 2020.
• Descrizione fisica: 1 online resource (XI, 313 p. 107 illus., 2 illus. in color.)
• Disciplina: 515.35; 515.352
• Soggetto topico: Differential equations; Special functions; Ordinary Differential Equations; Special Functions
• Nota di contenuto: Generalized Sturm-Liouville Problems in Continuous Spaces -- Generalized Sturm-Liouville Problems in Discrete Spaces -- Generalized Sturm-Liouville Problems in q-spaces.
• Sommario/riassunto: 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.
• Titolo autorizzato: Special Functions and Generalized Sturm-Liouville Problems
• ISBN: 3-030-32820-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484213903321
• Lo trovi qui: Univ. Federico II
• Serie: Frontiers in Mathematics, . 1660-8046