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Mostrando ítems 1-10 de 31
Artículo
Factorization method for difference equations of hypergeometric type on nonuniform lattices
(IOP Publishing, 2001-06-29)
We study the factorization of the hypergeometric-type difference equation of Nikiforov and Uvarov on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.
Artículo
Modelos matemáticos en biología: un viaje de ida y vuelta
(Sociedad Española de Matemática Aplicada, 2006)
El objetivo de este trabajo es mostrar la provechosa interacción entre la Biología y la Matemática. Para ello veremos cómo, por una parte, la Matemática es una herramienta sumamente interesante para entender distintos ...
Artículo
Special volume on orthogonal polynomials and mathematical physics
(Kent State University, 2006)
Artículo
Asymptotic properties of generalized Laguerre orthogonal polynomials
(Elsevier, 2004-06)
In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly ...
Capítulo de Libro
Los q-polinomios hipergeométricos
(Universidad de La Rioja, 2001)
It is well known that the q-polynomials of hypergeometric type are the polynomial solutions of a certain second order difference equation in a non-uniform lattice. In this short paper we present a modification of the proof ...
Artículo
On recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
(2006)
Using a general procedure for finding recurrence relations for hypergeometric functions and polynomials introduced by Cardoso et al. [J. Phys. A 36 (2003), 2055-2068] we obtain some new recurrence relations for the ...
Artículo
On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
(Elsevier, 2005-12-15)
In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an ...
Artículo
On the q-polynomials: a distributional study
(Elsevier, 2001-10-15)
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term ...
Artículo
Recurrence relations for discrete hypergeometric functions
(Taylor & Francis, 2005)
We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type. Applications to wave functions of certain discrete system are also given.
Artículo
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
(Sociedad Matemática Mexicana / Springer, 2002-10)
We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can ...