The symmetric strong moment problem

Journal of Computational and Applied Mathematics

Volumn 67, Issue 2, 1996, Pages 327-341

  Common, A K ^a   McCabe, J H ^b  

^a UNIVERSITY OF KENT   (United Kingdom)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

Continued fractions; Pad approximants; Symmetric distributions

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; POLYNOMIALS; STATISTICAL METHODS;

CONTINUED FRACTIONS; PADE APPROXIMANTS; QUOTIENT DIFFERENCE ALGORITHM; STIELTJES MOMENT PROBLEM; SYMMETRIC DISTRIBUTIONS;

APPROXIMATION THEORY;

EID: 0030101917     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(94)00125-1     Document Type: Article

References (8)

1. A.K. Common, A solution of the initial value problem for half-infinite integrable lattice systems, Inverse Problems 8 (1992) 393-408.
2. S.C. Cooper, W.B. Jones and W.J. Thron, Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions, J. Comput. Appl. Math. 32 (1990) 39-46.
3. W.B. Jones, A. Magnus and W.J. Thron, PC-fractions and orthogonal Laurent polynomials for log-normal distributions, J. Math. Anal. Appl. 170 (1992) 225-244.
4. W.B. Jones, O. Njåstad and W.J. Thron, Continued fractions associated with trigonometric and other strong moment problems, Constructive Approx. 2 (1986) 197-211.
5. W.B. Jones, W.J. Thron and H. Waadeland, A strong Stieltjes moment problem, Trans. Amer. Math. Soc. 261 (1980) 503-528.
6. J.H. McCabe, A formal extension of the Padé table to include two-point Padé quotients. J. Inst. Math. Appl. 15 (1975) 363-372.
7. J.H. McCabe, The quotient-difference algorithm and the Padé table: An alternative form and a general continued fraction, Math. Comput. 41 (1983) 183-197.
8. J.H. McCabe and A. Sri Ranga, On the extensions of some classical distributions, Proc. Edinburgh Math. Soc. 34 (1991) 19-29.