Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions

DOI10.1016/0377-0427(90)90414-UzbMath0721.65007OpenAlexW2098593493MaRDI QIDQ2641068

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

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90414-u

zbMATH Keywords

Padé approximantsGaussian quadraturecontinued fractionsorthogonal Laurent polynomialslog-normal distributionsstrong moment problems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Moment problems (44A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Continued fractions; complex-analytic aspects (30B70)

Related Items

The symmetric strong moment problem, Zeros of orthogonal Laurent polynomials and solutions of strong Stieltjes moment problems, Asymptotics of orthogonal L-polynomials for log-normal distributions, PC-fractions and orthogonal Laurent polynomials for log-normal distributions, Orthogonal Laurent polynomials. A new algebraic approach, On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type, The strong Chebyshev distribution and orthogonal Laurent polynomials, Orthogonal Laurent polynomials and strong moment theory: A survey, On a symmetry in strong distributions

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
• Ramanujan's Extensions of the Gamma and Beta Functions
• A Strong Stieltjes Moment Problem
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• Convergence of Continued Fractions
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