Special Functions and Generalized Sturm-Liouville Problems

1. Auflage 2020
ISBN: 978-3-030-32819-1
Verlag: Springer International Publishing

Buch, Englisch, 313 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 552 g

Reihe: Frontiers in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Masjed-Jamei, Mohammad

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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