LEADER 02889nam 22005175 450 001 996418263803316 005 20200701082629.0 010 $a3-030-32820-1 024 7 $a10.1007/978-3-030-32820-7 035 $a(CKB)4100000010121949 035 $a(DE-He213)978-3-030-32820-7 035 $a(MiAaPQ)EBC6028169 035 $a(PPN)242845142 035 $a(EXLCZ)994100000010121949 100 $a20200125d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSpecial Functions and Generalized Sturm-Liouville Problems$b[electronic resource] /$fby Mohammad Masjed-Jamei 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (XI, 313 p. 107 illus., 2 illus. in color.) 225 1 $aFrontiers in Mathematics,$x1660-8046 311 $a3-030-32819-8 327 $aGeneralized Sturm-Liouville Problems in Continuous Spaces -- Generalized Sturm-Liouville Problems in Discrete Spaces -- Generalized Sturm-Liouville Problems in q-spaces. 330 $aThis book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. Further, it describes the conditions under which the usual Sturm-Liouville problems with symmetric solutions can be extended to a larger class, particularly highlighting the solutions of generalized problems that result in new orthogonal sequences of continuous or discrete functions. Sturm-Liouville theory is central to problems in many areas, such as engineering, mathematics, physics, and biology. This accessibly written book on the topic is a valuable resource for a broad interdisciplinary readership, from novices to experts. 410 0$aFrontiers in Mathematics,$x1660-8046 606 $aDifferential equations 606 $aSpecial functions 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 615 0$aDifferential equations. 615 0$aSpecial functions. 615 14$aOrdinary Differential Equations. 615 24$aSpecial Functions. 676 $a515.35 700 $aMasjed-Jamei$b Mohammad$4aut$4http://id.loc.gov/vocabulary/relators/aut$01016391 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418263803316 996 $aSpecial Functions and Generalized Sturm-Liouville Problems$92377954 997 $aUNISA