most citedGeneralized Chebyshev polynomials of the second kind

19 citations · 35 across the 5 of their papers we have counts for

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5 papers

math.CA2015★ 4 cited

Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains

Mohammad A. AlQudah

We construct a simple closed-form representation of degree-ordered system of bivariate Chebyshev-I orthogonal polynomials on simplicial domains. We show…

math.CA2015

Generalized Tschebyscheff of the second kind and Bernstein polynomials change of bases

Mohammad A. AlQudah

We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. We build the change-of-basis matrices between the gen…

math.CA2015★ 19 cited

Generalized Chebyshev polynomials of the second kind

Mohammad A. AlQudah

We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Ber…

math.CA2015★ 11 cited

Characterization of the generalized Chebyshev-type polynomials of first kind

Mohammad A. AlQudah

Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using ortho…

math.NA2015★ 1 cited

Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind

Mohammad A. AlQudah, Maalee AlMheidat

In this paper an explicit form of generalized Chebyshev Koornwinder's type polynomial of first kind in terms of the Bernstein basis of fixed degree is provided. Moreover, we in…