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BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
(Amer Mathematical Soc, 2012-06-01)
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the orthogonality properties ...
BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
(Amer Mathematical Soc, 2012-06-01)
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the orthogonality properties ...
Polynomial coefficients
(Abdelkader Dendane, 2016)
Polynomial coefficients
(Abdelkader Dendane, 2011)
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
(Academic Press Inc Elsevier Science, 2014-04)
For a two-parameter family of lower triangular matrices with entries involving Jacobi polynomials an explicit inverse is given, with entries involving a sum of two Jacobi polynomials. The formula simplifies in the Gegenbauer ...
ON IRREDUCIBLE FACTORS OF THE POLYNOMIAL f(x) - g(y)
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2010)
Orthogonal polynomials on the unit circle satisfying a second-order differential equation with varying polynomial coefficients
(Taylor & Francis Ltd, 2016-01-01)
Consider the linear second-order differential equation An(z) y+ B-n(z) y' + C(n)y = 0, where A(n)(z) = a(2), nz(2) + a(1,n)z + a(0), n with a(2), n = 0, a2 1, n - 4a2, na0, n = 0,. n. N or a2, n = 0, a1, n = 0,. n. N, Bn(z) ...
On the convergence of random polynomials and multilinear forms
(Academic Press Inc Elsevier Science, 2011-10)
We consider different kinds of convergence of homogeneous polynomials and multilinear forms in random variables. We show that for a variety of complex random variables, the almost sure convergence of the polynomial is ...
Para-orthogonal polynomials from constant Verblunsky coefficients
(Elsevier B.V., 2015)
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2014)