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Trapping of a particle in a short-range harmonic potential well
(2013-01-01)
Eigenstates of a particle in a localized and unconfined harmonic potential well are investigated. Effects due to the variation of the potential parameters as well as certain results from asymptotic expansions are discussed. ...
Binomial D-modules
(Duke University Press, 2010-03)
We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z d -graded binomial ideal I in C[∂1, . . . , ∂n] along with Euler operators de- fined by the grading and a parameter β ∈ C d ...
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2014)
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
(Academic Press Inc Elsevier Science, 2016-01)
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ ...
A study of three variable analogues of certain fractional integral operators
(Pontificia Universidad Católica del PerúPE, 2017)
Properties of the bivariate confluent hypergeometric function kind 1 distribution
(Unión Matemática ArgentinaAnálisis MultivariadoBahía Blanca, Argentina, 2022)