Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T18:45:25.289Z Has data issue: false hasContentIssue false
  • English
  • Français

The strong c-Symmetric distribution

Part of: Miscellaneous topics of analysis in the complex domain

Published online by Cambridge University Press:  09 April 2009

A. Sri Ranga
A. Sri Ranga
Affiliation:
Departmento de Ciěncias de Computaçã e Estatistica IBILCE, UNESP-Universidade Estadual PaulistaSão José do Rio Preto, SP, Brazil
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we consider a class of strong symmetric distributions, which we refer to as the strong c-symmetric distributions. We provide, as the main result of this paper, conditions satisfied by the recurrence relations of certain polynomials associated with these distributions.

MSC classification

Secondary: 30E05: Moment problems, interpolation problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 2 , October 1992 , pp. 261 - 265
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Jones, W. B., Thron, W. J. and Waadeland, H., ‘A strong Stieltjes moment problem’, Trans. Amer. Math. Soc. 261 (1980), 503–528.CrossRefGoogle Scholar
[2]Olav, Njåstad and Thron, W. J., ‘Unique solvability of the strong Hamburger moment problem’, J. Austral. Math. Soc. (Series A) 40 (1986), 5–19.Google Scholar
[3]Ranga, A. Sri, ‘On a recurrence formula associated with strong distributions’, SIAM J. Math. Anal. 21 (1990), 1335–1348.CrossRefGoogle Scholar
[4]Ranga, A. Sri and McCabe, J. H., ‘On the extensions of some classical distributions’, Proc. Edinburgh Math. Soc.. 34 (1991), 19–29.CrossRefGoogle Scholar