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We study a family of symmetric third-order recurring sequences with the aid of Riordan arrays and Chebyshev polynomials.. Formulas involving both Chebyshev poly- nomials and
Over the past 30 years, the Manitoba Institute of Trades and Technology (MITT) has provided secondary and post-secondary students with sought-after, marketable education for
We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices.. For moment sequences, we give an integral repre- sentation of
In so doing, we are led to introduce a family of polynomi- als, which includes the Boubaker polynomials, and a scaled version of the Chebyshev polynomials, using the techniques
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
We link this study to Riordan arrays and Hankel transforms arising from a special case of capacity calculation related to MIMO communication systems.. A link is established between
Barry, Generalized Catalan numbers, Hankel transforms and Somos-4 sequences, J..
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