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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.
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

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