Generalized holomorphic orthogonal function systems over infinite cylinders

doi:10.1002/mma.3243

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	Generalized holomorphic orthogonal function systems over infinite cylinders
	Morais,J.1; Kou,K. I.2 ; Le,H. T.3
	2015-08-01
Source Publication	Mathematical Methods in the Applied Sciences
ISSN	0170-4214
Volume	38 Issue:12 Pages:2574-2588
Abstract	In this paper we construct two distinct generalized holomorphic orthogonal function systems over infinite cylinders in R3. 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.
Keyword	Bessel Functions Chebyshev Polynomials Cylindrical Harmonics Generalized Cylindrical Holomorphics Hyperbolic Functions Quaternionic Analysis
DOI	10.1002/mma.3243
URL	View the original
Indexed By	SCIE
Language	英語English
WOS ID	WOS:000357969600011
Scopus ID	2-s2.0-84937022657
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Morais,J.
Affiliation	1.Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro,Aveiro,3810-193,Portugal 2.Department of Mathematics, Faculty of Science and Technology, University of Macau,Macao 3.Technical University of Mining,Freiberg,Germany
Recommended Citation GB/T 7714	Morais,J.,Kou,K. I.,Le,H. T.. Generalized holomorphic orthogonal function systems over infinite cylinders[J]. Mathematical Methods in the Applied Sciences, 2015, 38(12), 2574-2588.
APA	Morais,J.., Kou,K. I.., & Le,H. T. (2015). Generalized holomorphic orthogonal function systems over infinite cylinders. Mathematical Methods in the Applied Sciences, 38(12), 2574-2588.
MLA	Morais,J.,et al."Generalized holomorphic orthogonal function systems over infinite cylinders".Mathematical Methods in the Applied Sciences 38.12(2015):2574-2588.

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