Results 71 to 80 of about 2,744 (114)
On Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions [PDF]
arXiv, 2016 We obtain Paley-type and Hausdorff-Young-Paley-type inequalities for Jacobi expansions.
arxiv
On Schur parameters in Steklov's problem [PDF]
arXiv, 2016 We study the recursion (aka Schur) parameters for monic polynomials orthogonal on the unit circle with respect to a weight which provides negative answer to the conjecture of Steklov.
arxiv
On the sharpness of one inequality of different metrics for algebraic polynomials [PDF]
arXiv, 2016 We prove that the previously established inequality of different metrics for algebraic polynomials is sharp in the sense of order.
arxiv
On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 Ferizović D.
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Avoiding maximal parabolic subgroups of S_k [PDF]
arXiv, 2000 We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions. The generating function turns out to be rational, and its denominator is a rook polynomial for a rectangular board.
arxiv
Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions [PDF]
arXiv, 2002 We show that for $\delta$ below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Cesaro and Riesz means of order $\delta$.
arxiv
Quasimodular solutions of a differential equation of hypergeometric type [PDF]
arXiv, 2002 Solutions which are quasimodular forms to a second order differential equation attached to a triangular group are explicitly described in terms of certain orthogonal polynomials.
arxiv
New bounds on the Hermite polynomials [PDF]
arXiv, 2004 We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value of $|H_k(x)| e^{-x^2/2},$ on the real axis, where $H_k$ are the Hermite polynomials.
arxiv
Heat kernels of the discrete Laguerre operators. [PDF]
Lett Math Phys, 2021 Kostenko A.
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Alternative Orthogonal Polynomials [PDF]
arXiv, 2004 The double-direction orthogonalization algorithm is applied to construct sequences of polynomials, which are orthogonal over the interval [0,1]with the weighting function 1. Functional and recurrent relations are derived for the sequences that are the result of the inverse orthogonalization procedure.
arxiv