Orthogonal polynomials on the unit circle
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
... give the defini- tions and state the basic results which will be used in the forthcoming ...establish the equivalence between (1) and the matrix Sylvester differential equations ...
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On differential equations for orthogonal polynomials on the unit circle
... of orthogonal poly- nomials on the unit circle are factorized in terms of well characterized semi- classical sequences of orthogonal ...sequences on the unit ...
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Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circle
... in the linear space of Laurent polynomials with complex coefficients was ...outlined. The concept of semi-classical functional was extended to this set of function- als; a hermitian linear functional ...
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Structure relations for orthogonal polynomials on the unit circle
... for orthogonal polynomials, that is, finite- type relations involving sequences of orthogonal polynomials and its deriva- tives, have been widely studied in the literature of ...
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Coherent pairs of linear functionals on the unit circle
... present the basic results concerning hermitian orthogonality on the unit circle which will be used in the forthcoming ...of orthogonal polynomials on ...
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Another connection between orthogonal polynomials and L-orthogonal polynomials
... between orthogonal polynomials associated with positive measures on the real line and L-orthogonal polynomials associated with strong measures of the class S 3 [0, β, ...
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SZEGO POLYNOMIALS FROM HYPERGEOMETRIC FUNCTIONS
... With the publications of [20] and [21] in the early 20th century, Szeg˝o introduced the orthogonal polynomials on the unit ...results on these ...
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BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
... [30], the first edition of which was published in ...these polynomials which bear the name of Szeg˝o were extensively studied by ...of the very recent contributions. The recent ...
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Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
... of the relations that exist between real Szeg¨ o polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again re- lated to ...
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Szego polynomials: some relations to L-orthogonal and orthogonal polynomials
... consider the real Szeg˝o polynomials and obtain some relations to certain self inversive orthogonal L-polynomials de ned on the unit circle and corresponding ...
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Maria Gabriela Campolina Diniz Peixoto (1) , Daniel Jordan de Abreu Santos (2) , Rusbel Raul Aspilcueta Borquis (2), Frank Ângelo Tomita Bruneli (1) , João Cláudio do Carmo Panetto (1) and Humberto Tonhati (2)
... Legendre polynomials and linear splines for production traits and somatic cell score of Canadian Holstein ...using orthogonal polynomials and parametric ...
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Differential equations for families of semi- classical orthogonal polynomials within class one
... semi-classical orthogonal polynomials of class ...for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known ...
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Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials
... for orthogonal polynomials with twice di erentiable coecients appears implicitly also in [20, Theorem 7], where the so-called birth and death process polynomials are ...studying the ...
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Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion
... in the cost function. The presented method makes use of the properties of orthogonal polynomials and transforms the problem into a linear set of ...equations. The results ...
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On Global Solution of Incompressible Navier-Stokes Equations
... describe the motion of fluid ...with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure ...
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On linear spectral transformations and the Laguerre-Hahn class
... by the Portuguese Government through the Funda¸ c˜ ao para a Ciˆ encia e a Tecnologia (FCT) under the grant ...by the Centre for Mathematics of the University of Coimbra ...
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Active Social Network System for the Creation of Self-relief Communities in Disasters
... define the process in how the communities respond to disasters [1], there are five statements in the ...In the first one, the communities respond to disasters in stages without relying ...
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The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
... of orthogonal polynomials of class two related to Stieltjes functions satisfying a Riccati type differential equation with polynomial ...for the recurrence coefficients of the ...
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The influence of the arc plasma treatment on the structure and microhardness C120U carbon tool steel
... treatment on the cross section of the surface layer was distinguished two areas with the different microstructure were observed in respect to the parent ...material. The first ...
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Paper on Maximizing the Throughput for MIMO OFDM-CDMA Systems by Evaluating Space Time Frequency Spreading
... from the inadequacy of either time domain or frequency domain analysis to fully describe the nature of non-stationary ...how the spectral content of the signal evolves with time, thus ...
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