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p , q -Growth of Meromorphic Functions and the Newton-Padé Approximant
Joint Authors
Harfaoui, Mohammed
Lakhmaili, Loubna
Mourassil, Abdellah
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we have considered the generalized growth (p,q-order and p,q-type) in terms of coefficient of the development pnn given in the (n, n)-th Newton-Padé approximant of meromorphic function.
We use these results to study the relationship between the degree of convergence in capacity of interpolating functions and information on the degree of convergence of best rational approximation on a compact of ℂ (in the supremum norm).
We will also show that the order of meromorphic functions puts an upper bound on the degree of convergence.
American Psychological Association (APA)
Harfaoui, Mohammed& Lakhmaili, Loubna& Mourassil, Abdellah. 2019. p , q -Growth of Meromorphic Functions and the Newton-Padé Approximant. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1166371
Modern Language Association (MLA)
Harfaoui, Mohammed…[et al.]. p , q -Growth of Meromorphic Functions and the Newton-Padé Approximant. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1166371
American Medical Association (AMA)
Harfaoui, Mohammed& Lakhmaili, Loubna& Mourassil, Abdellah. p , q -Growth of Meromorphic Functions and the Newton-Padé Approximant. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1166371
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166371