内容

目次

Chebyshev-Laurent polynomials and weighted approximation; natural solutions of indeterminate strong Stieltjes moment problems derived from PC-fractions; a class of indeterminate strong Stieltjes moment problems with discrete distributions; symmetric orthogonal L-polynomials in the complex plane; continued fractions and orthogonal rational functions; interpolation of Nevanlinna functions by rationals with poles on the real line; symmetric orthogonal Laurent polynomials; interpolating Laurent polynomials; computation of the gamma and Binet functions by Stieltjes continued fractions; formulas for the moments of some strong moment distributions; orthogonal Laurent polynomials of Jacobi, Hermite and Laguerre types; regular strong Hamburger moment problems; asymptotic behaviour of the continued fraction coefficients of a class of Stieltjes transforms, including the Binet function; uniformity and speed of convergence of complex continued fractions K(an/1); separation theorem of Chebyshev-Markov-Stieltjes type for Laurent polynomials orthogonal on (0, alpha); orthogonal polynomials associated with a non-diagonal Sobolev inner product with polynomial coefficients; remarks on canonical solutions of strong moment problems; Sobolev orthogonality and properties of the generalized Laguerre polynomials; a combination of two methods in frequency analysis -the R(N)-process; zeros of Szego polynomials used in frequency analysis; some probabilistic remarks on the boundary version of Worpitzky's theorem.