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Special functions and generalized St...

Masjed-Jamei, Mohammad.

Special functions and generalized Sturm-Liouville problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Special functions and generalized Sturm-Liouville problemsby Mohammad Masjed-Jamei.
Author:	Masjed-Jamei, Mohammad.
Published:	Cham :Springer International Publishing :2020.
Description:	xi, 313 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Sturm-Liouville equation.
Online resource:	https://doi.org/10.1007/978-3-030-32820-7
ISBN:	9783030328207$q(electronic bk.)

Special functions and generalized Sturm-Liouville problems
Masjed-Jamei, Mohammad.

Special functions and generalized Sturm-Liouville problems[electronic resource] /by Mohammad Masjed-Jamei. - Cham :Springer International Publishing :2020. - xi, 313 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

274844
Sturm-Liouville equation.

LC Class. No.: QA379 / .M375 2020

Dewey Class. No.: 515.35

Special functions and generalized Sturm-Liouville problems
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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.
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