Some Properties of the Fractional Circle Zernike Polynomials

M. M. Rodrigues () and N. Vieira ()
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M. M. Rodrigues: University of Aveiro, CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics
N. Vieira: University of Aveiro, CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics

Chapter Chapter 24 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 265-276 from Springer

Abstract: 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.

Keywords: Zernike Circle Polynomials; Fraction Circles; Distant Neighborhoods; Classical Jacobi Polynomials; Corneal Topography (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_24

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DOI: 10.1007/978-3-319-59384-5_24

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