Special Functions and Generalized Sturm-Liouville Problems

Released on by Mohammad Masjed-Jamei
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  • Special Functions and Generalized Sturm-Liouville Problems Book Detail

  • Author : Mohammad Masjed-Jamei
  • Release Date : 2020-01-25
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 322
  • ISBN 13 : 3030328201
  • File Size : 62,62 MB
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Special Functions and Generalized Sturm-Liouville Problems by Mohammad Masjed-Jamei PDF Summary

Book Description: 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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