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1.284  Articles
1 of 129 pages  |  10  records  |  more records»
In this paper, we introduce a new class of symmetric orthogonal polynomials that generalizes the class of Dunkl-classical ones. As applications, we give some new characterizations of the symmetric semiclassical orthogonal polynomials.

In this paper, we introduce a new class of symmetric orthogonal polynomials that generalizes the class of Dunkl-classical ones. As applications, we give some new characterizations of the symmetric semiclassical orthogonal polynomials.

The paper deals with the application of classical orthogonal Jacobi and Chebyshev–Lagerra polynomials to solving digital information processing problems and solving Volterra convolution integral equations, used to solve the problem of remote sensing of th... see more

In this paper, we consider the raising operator R? = ? Tµ + xI, ? ?= 0, where Tµ and I are the Dunkl operator and the identity operator respec- tively. Our purpose is to determine all monic orthogonal polynomials se- quences {Pn(x)}n=0 such that the seque... see more

In this paper, the Dunkl-semiclassical orthogonal polynomials will be studied as a generalization ofthe Dunkl-classical ones. We obtain some characterizations for such polynomials.  Moreover, an example of non-symmetric Dunkl-semiclassical ortho... see more

We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials.

Part I - By combining a general 2nd-order linear homogeneous ordinary differential equation with the three-term recurrence relation possessed by all orthogonal polynomials, it is shown that sequences of orthogonal polynomials which satisfy a differential ... see more

The problem of computational intelligence systems synthesis in on-line mode, capable for processing stochastic signals with missing observations in the data is considered. An adaptive approach based on using of orthogonal polynomials is developed.

Part I - By combining a general 2nd-order linear homogeneous ordinary differential equation with the three-term recurrence relation possessed by all orthogonal polynomials, it is shown that sequences of orthogonal polynomials which satisfy a differential ... see more

1 of 129 pages  |  10  records  |  more records»