Asymptotics of orthogonal L-polynomials for log-normal distributions

DOI10.1007/BF01208906zbMath0760.33002OpenAlexW2072343331MaRDI QIDQ1187190

S. Clement Cooper, William B. Jones, W. J. Thron

Publication date: 28 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208906

zbMATH Keywords

orthogonal polynomialsLaurent polynomialscontinued fractionsmoment-generating functionseparate convergence\(T\)-fractionlinear difference equations techniques

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items

Another connection between orthogonal polynomials and L-orthogonal polynomials, \(L\)-orthogonal polynomials associated with related measures, PC-fractions and orthogonal Laurent polynomials for log-normal distributions, The strong Chebyshev distribution and orthogonal Laurent polynomials, Orthogonal Laurent polynomials and strong moment theory: A survey

Cites Work

• Two-point Padé expansions for a family of analytic functions
• Orthogonal Laurent polynomials and the strong Hamburger moment problem
• Orthogonal polynomials and some q-beta integrals of Ramanujan
• Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions
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