Zeros of generalized Krawtchouk polynomials

DOI10.1016/0021-9045(90)90072-XzbMath0693.33005MaRDI QIDQ584473

Laura M. Chihara, Dennis W. Stanton

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Krawtchouk polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (21)

More zeros of Krawtchouk polynomials ⋮ Orbit Dirichlet series and multiset permutations ⋮ Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials ⋮ Unique optima of the Delsarte linear program ⋮ Complex Hadamard matrices, instantaneous uniform mixing and cubes ⋮ Fractional revival and association schemes ⋮ On the zeros of Meixner polynomials ⋮ Asymptotic analysis of the Krawtchouk polynomials by the WKB method ⋮ Zeros of classical orthogonal polynomials of a discrete variable ⋮ Bounds for zeros of Meixner and Kravchuk polynomials ⋮ Nonnegative quadratic forms and bounds on orthogonal polynomials ⋮ The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters ⋮ A bilinear form relating two Leonard systems ⋮ Fast recursive computation of Krawtchouk polynomials ⋮ On zeros of discrete orthogonal polynomials ⋮ Interlacing of zeros of orthogonal polynomials under modification of the measure ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials ⋮ Lower Bounds on the Deterministic and Quantum Communication Complexity of Hamming-Distance Problems ⋮ DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY ⋮ Flat manifolds isospectral on \(p\)-forms. ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

Cites Work

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• The Radon transform on \({\mathbb{Z}}^ k_ 2\)
• A partially ordered set and q-Krawtchouk polynomials
• On the Zeros of the Askey–Wilson Polynomials, with Applications to Coding Theory
• Some q-Krawtchouk Polynomials on Chevalley Groups
• Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$
• New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities
• The Zeros of the Hahn Polynomials

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