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Listar Artículos (Análisis Matemático) por autor "Atakishiyev Mektiyev, Natig"
Mostrando ítems 1-6 de 6
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Artículo
A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (Academic Publications, 2004)In this paper we study in detail a q-extension of the generalized Hermite polynomials of Szeg˝o. A continuous orthogonality ...
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Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
Álvarez Nodarse, Renato; Atakishiyev Mektiyev, Natig; Costas Santos, Roberto Santiago (Institute of Physics, 2005-01-07)We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. ...
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Artículo
Factorization of the hypergeometric-type difference equation on the uniform lattice
Atakishiyev Mektiyev, Natig; Álvarez Nodarse, Renato; Costas Santos, R. (2007) -
Artículo
Mellin transforms for some families of q-polynomials
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (Elsevier, 2003-04-01)By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral ...
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On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (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 ...
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On a q-extension of the linear harmonic oscillator with the continuous orthogonality property on R
Álvarez Nodarse, Renato; Atakishiyeva Kyazim Zade, Messouma; Atakishiyev Mektiyev, Natig (Springer, 2005-11)We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical ...