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Generalized holomorphic orthogonal function systems over infinite cylinders |
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| Authors: | J Morais K I Kou H T Le |
| Institution: | 1. Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal;2. Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau;3. Technical University of Mining, Freiberg, Germany |
| Abstract: | In this paper we construct two distinct generalized holomorphic orthogonal function systems over infinite cylinders in  . Explicit representation formulae and properties of the obtained basis functions are given. As an application, we present some plot simulations that illustrate the results of this work. Copyright © 2014 John Wiley & Sons, Ltd. |
| Keywords: | quaternionic analysis Bessel functions Chebyshev polynomials hyperbolic functions cylindrical harmonics generalized cylindrical holomorphics |