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Generalized Mathieu series [electronic resource] / Živorad Tomovski, Delčo Leškovski, Stefan Gerhold.

The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H....

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Tomovski, Živorad
Other Authors: Leškovski, Delčo, Gerhold, Stefan
Format: Electronic eBook
Language:English
Published: Cham, Switzerland : Springer, 2021.
Subjects:
Mathieu functions.
Mathieu equation.
Table of Contents:
  • 1 Introduction
  • 2 Generalized Mathieu Series
  • 3 Mean Convergence of Fourier-Mathieu Series
  • 4 Estimates for Multiple Generalized Mathieu Series
  • 5 Asymptotic Expansions of Mathieu Series
  • 6 Two-Sided Inequalities for the Butzer-Flocke-Hauss Complete Omega Function
  • 7 Probability Distributions Associated with Mathieu Series
  • 8 Conclusion
  • Appendix A: Some special functions and their properties.

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