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Proceedings Paper

Study of the properties of Zernike’s orthogonal polynomials
Author(s): Sergey N. Bezdidko
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Paper Abstract

Wide application of Zernike’s orthogonal polynomials at lens design and optical engineering generates a need of more detailed study of their properties, assemblage new results and results received previously. In this connection we bring results of our researches on study of properties of Zernike's polynomials, revealing their interrelation with other special functions, obtaining recurrence relations, formulas of differentiation of Zernike's radial polynomials, decomposition of the ratio of two radial polynomials in continuous fractions and so on.

Paper Details

Date Published: 6 November 2003
PDF: 8 pages
Proc. SPIE 5174, Novel Optical Systems Design and Optimization VI, (6 November 2003); doi: 10.1117/12.507927
Show Author Affiliations
Sergey N. Bezdidko, Scientific Ctr. House of Optics/S.I. Vavilov State Optical Institute (Russia)


Published in SPIE Proceedings Vol. 5174:
Novel Optical Systems Design and Optimization VI
Jose M. Sasian; R. John Koshel; Paul K. Manhart, Editor(s)

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