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

Special Functions and Generalized Sturm-Liouville Problems

Buch | Softcover
XI, 313 Seiten
2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-32819-1 (ISBN)
CHF 82,35 inkl. MwSt

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.


Generalized Sturm-Liouville Problems in Continuous Spaces.- Generalized Sturm-Liouville Problems in Discrete Spaces.- Generalized Sturm-Liouville Problems in q-spaces.

Erscheinungsdatum
Reihe/Serie Frontiers in Mathematics
Zusatzinfo XI, 313 p. 107 illus., 2 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Gewicht 558 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte generalized Sturm-Liouville problems • hypergeometric difference and differential equatio • hypergeometric difference and differential equations • Ordinary differential equations • orthogonal polynomials • Special Functions • symmetric spaces
ISBN-10 3-030-32819-8 / 3030328198
ISBN-13 978-3-030-32819-1 / 9783030328191
Zustand Neuware
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