TY - BOOK ID - 61158721 TI - Special Functions and Generalized Sturm-Liouville Problems PY - 2020 SN - 3030328201 3030328198 PB - Cham : Springer International Publishing : Imprint: Birkhäuser, DB - UniCat KW - Differential equations. KW - Special functions. KW - Ordinary Differential Equations. KW - Special Functions. KW - Special functions KW - Mathematical analysis KW - 517.91 Differential equations KW - Differential equations KW - Sturm-Liouville equation. KW - Liouville-Sturm equation KW - Boundary value problems UR - https://www.unicat.be/uniCat?func=search&query=sysid:61158721 AB - 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. ER -