Strong asymptotics for Krawtchouk polynomials

DOI10.1016/S0377-0427(98)00183-6zbMath0948.41018OpenAlexW2088668281MaRDI QIDQ1298652

Mourad E. H. Ismail, Plamen C. Simeonov

Publication date: 19 November 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00183-6

zbMATH Keywords

saddle pointsKrawtchouk polynomialsstrong asymptoticsweak asymptotics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Asymptotic expansion of the Krawtchouk polynomials and their zeros, Asymptotics of Plancherel-type random partitions, Asymptotics of Racah polynomials with varying parameters, Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach, Orthogonal polynomials for self-dual weights, On the zeros of Meixner polynomials, Hypercontractivity of Spherical Averages in Hamming Space, Asymptotic analysis of the Krawtchouk polynomials by the WKB method, Nonnegative quadratic forms and bounds on orthogonal polynomials, Mehler-Heine type formulas for the Krawtchouk polynomials, Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds, DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY, Zero distributions for discrete orthogonal polynomials, A uniform asymptotic expansion for Krawtchouk polynomials

Cites Work

• Zero distributions for discrete orthogonal polynomials
• The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
• Constrained energy problems with applications to orthogonal polynomials of a discrete variable
• A problem in potential theory and zero asymptotics of Krawtchouk polynomials
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