Appendix F: Mathieu Functions (English)

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This appendix contains sections titled:

Introduction

Mathieu Equation

Mathieu Function

Characteristic Equation

Mathieu Functions of Fractional Order

Nonperiodic Second Solutions

Table of contents eBook

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1
Introduction
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
7
General Theory
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
41
Rectangular Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
51
Circular Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
61
Elliptic Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
71
Parabolic Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
91
Circular Cylinder Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
99
Elliptic Cylinder Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
109
Parabolic Cylinder Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
125
Spherical Polar Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
139
Prolate Spheroidal Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
155
Oblate Spheroidal Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
165
Parabolic Rotational Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
181
Conical Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
191
Ellipsoidal Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
217
Paraboloidal Coordinates
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
233
Differential‐Geometric Formulation
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
241
Quantum‐Mechanical Particle Confined to the Neighborhood of Curves
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
271
Quantum‐Mechanical Particle Confined to Surfaces of Revolution
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
283
Boundary Perturbation Theory
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
295
Appendix A: Hypergeometric Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
305
Appendix B: Baer Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
309
Appendix C: Bessel Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
321
Appendix D: Lamé Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
329
Appendix E: Legendre Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
339
Appendix F: Mathieu Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
351
Appendix G: Spheroidal Wave Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
357
Appendix H: Weber Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
361
Appendix I: Elliptic Integrals and Functions
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
369
References
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
375
Index
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011
I
Front Matter
Willatzen, Morten / Lew Yan Voon, Lok C. | 2011