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http://hdl.handle.net/10773/18419
Title: | Some properties of the fractional circle Zernike polynomials |
Author: | Rodrigues, Maria Manuela Fernandes Vieira, Nelson Felipe Loureiro |
Keywords: | Zernike polynomials Fractional calculus g-Jacobi polynomials Special functions Recurrence relations |
Issue Date: | Sep-2017 |
Publisher: | Birkhäuser Basel |
Abstract: | In this paper, we present a fractional extension of the classical circle Zernike polynomials defined via g-Jacobi functions. Some properties of this new class of functions are studied, such as recurrence relations for consecutive and distant neighborhoods, and differential relations. A graphic representation for the proposed fractional circle Zernike polynomials will be presented in the final section of the paper. |
URI: | http://hdl.handle.net/10773/18419 |
DOI: | 10.1007/978-3-319-59384-5_24 |
ISBN: | 978-3-319-59383-8 |
Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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artigo31.pdf | Documento principal | 827.53 kB | Adobe PDF | View/Open |
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