Alejandro Zarzo

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PURPOSE A comparative study of the ability of some modal schemes to reproduce corneal shapes of varying complexity was performed, by using both standard radial polynomials and radial basis functions (RBFs). The hypothesis was that the correct approach in the case of highly irregular corneas should combine several bases. METHODS Standard approaches of(More)
The Askey scheme of hypergeometric orthogonal polynomials contains the classical orthogonal polynomials which can be written in terms of hypergeometric functions, starting at the top with Wilson and Racah polynomials and ending at the bottom with Hermite polynomials (Askey and Wilson, 1985; Labelle, 1990). Koornwinder (1994) presented a q-Hahn tableau: a(More)
I. AREA*, E. GODOYb,y, A. RONVEAUXc,z and A. ZARZO Departamento de Matemática Aplicada II, E.T.S.E. Telecomunicación, Universidade de Vigo, Campus Lagoas–Marcosende, 36200 Vigo, Spain; Departamento de Matemática Aplicada II, E.T.S.I. Industriales, Universidade de Vigo, Campus Lagoas–Marcosende, 36200 Vigo, Spain; Physique Mathematique, Facultés(More)
We propose an algorithm to construct recurrence relations for the coefficients of the Fourier series expansions with respect to the q-classical orthogonal polynomials pk(x;q). Examples dealing with inversion problems, connection between any two sequences of q-classical polynomials, linearization of ϑm(x) pn(x;q), where ϑm(x) is xmor (x;q)m, and the(More)
K e y w o r d s O r t h o g o n a l polynomials, Lah numbers, Involutory matrices, Connection problems, Generalized hypergeometric series. *Author to whom all correspondence should be addressed. The authors were partially supported by the "XXII Comisi6n Mixta Permanente del Acuerdo Cultural entre Espafia y Bdlgica (Comunidad Francesa)". The work of E. Godoy(More)
Given a polynomial solution of a differential equation, its m-ary decomposition, i.e. its decomposition as a sum of m polynomials P [j](x) = P k αj,kx λj,k containing only exponents λj,k with λj,k+1 − λj,k = m, is considered. A general algorithm is proposed in order to build holonomic equations for the m-ary parts P [j](x) starting from the initial one,(More)
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