國立虎尾科技大學 |

Special Functions and Generalized Sturm-Liouville Problems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Special Functions and Generalized Sturm-Liouville Problems/ by Mohammad Masjed-Jamei.
作者:	Masjed-Jamei, Mohammad.
面頁冊數:	XI, 313 p. 107 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-32820-7
ISBN:	9783030328207

Special Functions and Generalized Sturm-Liouville Problems
Masjed-Jamei, Mohammad.

Special Functions and Generalized Sturm-Liouville Problems[electronic resource] /by Mohammad Masjed-Jamei. - 1st ed. 2020. - XI, 313 p. 107 illus., 2 illus. in color.online resource. - Frontiers in Mathematics,1660-8046. - Frontiers in Mathematics,.

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.

ISBN: 9783030328207

Standard No.: 10.1007/978-3-030-32820-7doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Special Functions and Generalized Sturm-Liouville Problems
LDR:02421nam a22003975i 4500 001 1018911
003 DE-He213
005 20200701082629.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030328207 $9 978-3-030-32820-7
024 7 $a 10.1007/978-3-030-32820-7 $2 doi
035 $a 978-3-030-32820-7
050 4 $a QA372
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.352 $2 23
100 1 $a Masjed-Jamei, Mohammad. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1314008
245 1 0 $a Special Functions and Generalized Sturm-Liouville Problems $h [electronic resource] / $c by Mohammad Masjed-Jamei.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2020.
300 $a XI, 313 p. 107 illus., 2 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Frontiers in Mathematics, $x 1660-8046
505 0 $a Generalized Sturm-Liouville Problems in Continuous Spaces -- Generalized Sturm-Liouville Problems in Discrete Spaces -- Generalized Sturm-Liouville Problems in q-spaces.
520 $a 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.
650 0 $a Differential equations. $3 527664
650 0 $a Special functions. $3 1257411
650 1 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Special Functions. $3 672152
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030328191
776 0 8 $i Printed edition: $z 9783030328214
830 0 $a Frontiers in Mathematics, $x 1660-8046 $3 1258213
856 4 0 $u https://doi.org/10.1007/978-3-030-32820-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)