Functions and Analysis

    

Zernike Expansion of Chebyshev Polynomials of the First Kind

Authors: Richard J. Mathar

The even Chebyshev Polynomials T_i(x) can be expanded into sums of even Zernike Polynomials R_n^0(x), and the odd Chebyshev Polynomials can be expanded into sums of odd Zernike Polynomials R_n^1(x). This manuscripts provides closed forms for the rational expansion coefficients as products of Gamma-functions of integer and half-integer arguments.

Comments: 8 Pages.

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[v1] 2024-03-19 02:52:53

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