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Some consequences of symmetry in strong Stieltjes distributions

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CleoniceBraccialiPhDThesis.pdf (20.58Mb)
Date
1998
Author
Bracciali, Cleonice Fátima Bracciali
Supervisor
McCabe, J. H.
Linhares, Odelar Leite
Funder
Brazilian Council for Scientific and Technological Development
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Abstract
The main purpose of this work is to study a class of strong Stieltjes distributions 𝜓(t), defined on an interval (a, b) ⊆ (0, ∞), where 0 < 𝛽 < b ≤ ∞ and a = 𝛽²/b which satisfy the symmetric property (dψ(t))/t[super]ω=-(dψ(β^2/t))/((β^2/t)[super]ω), tε (a,b), 2ωε𝓩 We investigate the consequences of this symmetric property on the orthogonal L-polynomials related to distributions ψ(t)and which are the denominators of the two-point Pade approximants for the power series that arise in the moment problem. We examine relations involving the coefficients of the continued fractions that correspond to these power series. We also study the consequences of the symmetry on the associated quadrature formulae.
Type
Thesis, PhD Doctor of Philosophy
Collections
  • Mathematics & Statistics Theses
URI
http://hdl.handle.net/10023/13881

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