a relation between zernike polynomials and other orthogonal polynomials: a review

‎zernike circle polynomials use for wavefront analysis because of their orthogonality over a circular.‏‎so far, different representations have been presented for these polynomials. in this paper,‎‎‎we introduce zernike polynomials and their important properties. also, we present some otherorthogonal polynomials such ‎as‎ bessel ‎functions,‎ legendre polynomials and ‎jaccobi polynomials ‎and ‎give some important results of them‏.‎‎finally, we express the relationship between zernike orthogonal polynomialsand these well-known orthogonal polynomials.‏‎for different cases, the ‎radial‎ polynomials in the zernike functionsare obtained using the well-known orthogonal polynomials‏.these relations frequently used for representing‎wavefront ‎aberrations.