02889nam 22005175 450 99641826380331620200701082629.03-030-32820-110.1007/978-3-030-32820-7(CKB)4100000010121949(DE-He213)978-3-030-32820-7(MiAaPQ)EBC6028169(PPN)242845142(EXLCZ)99410000001012194920200125d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSpecial Functions and Generalized Sturm-Liouville Problems[electronic resource] /by Mohammad Masjed-Jamei1st ed. 2020.Cham :Springer International Publishing :Imprint: Birkhäuser,2020.1 online resource (XI, 313 p. 107 illus., 2 illus. in color.) Frontiers in Mathematics,1660-80463-030-32819-8 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.Frontiers in Mathematics,1660-8046Differential equationsSpecial functionsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Special Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M1221XDifferential equations.Special functions.Ordinary Differential Equations.Special Functions.515.35Masjed-Jamei Mohammadauthttp://id.loc.gov/vocabulary/relators/aut1016391MiAaPQMiAaPQMiAaPQBOOK996418263803316Special Functions and Generalized Sturm-Liouville Problems2377954UNISA