Some Propositions on Generalized Nevanlinna Functions of the Class Nk
Joint Authors
Song, Yan-Ping
Hao, Hui-Feng
Hu, Yong-Jian
Chen, Gong-Ning
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Some propositions on the generalized Nevanlinna functions are derived.
We indicate mainly that (1) the negative inertia index of a Hermitian generalized Loewner matrix generated by a generalized Nevanlinna function in the class Nκ does not exceed κ.
This leads to an equivalent definition of a generalized Nevanlinna function; (2) if a generalized Nevanlinna function in the class Nκ has a uniform asymptotic expansion at a real point α or at infinity, then the negative inertia index of the Hankel matrix constructed with the partial coefficients of that asymptotic expansion does not exceed κ.
Also, an explicit formula for the negative index of a real rational function is given by using relations among Loewner, Bézout, and Hankel matrices.
These results will provide first tools for the solution of the indefinite truncated moment problems together with the multiple Nevanlinna-Pick interpolation problems in the class Nκ based on the so-called Hankel vector approach.
American Psychological Association (APA)
Song, Yan-Ping& Hao, Hui-Feng& Hu, Yong-Jian& Chen, Gong-Ning. 2014. Some Propositions on Generalized Nevanlinna Functions of the Class Nk. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1015564
Modern Language Association (MLA)
Song, Yan-Ping…[et al.]. Some Propositions on Generalized Nevanlinna Functions of the Class Nk. Advances in Mathematical Physics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1015564
American Medical Association (AMA)
Song, Yan-Ping& Hao, Hui-Feng& Hu, Yong-Jian& Chen, Gong-Ning. Some Propositions on Generalized Nevanlinna Functions of the Class Nk. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1015564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015564