p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant
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 int...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2019/5792549 |
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| author | Mohammed Harfaoui Loubna Lakhmaili Abdellah Mourassil |
| author_facet | Mohammed Harfaoui Loubna Lakhmaili Abdellah Mourassil |
| author_sort | Mohammed Harfaoui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-352dd11d811547dda01bcafbc75fe60b |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-352dd11d811547dda01bcafbc75fe60b2025-08-20T02:24:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/57925495792549p,q-Growth of Meromorphic Functions and the Newton-Padé ApproximantMohammed Harfaoui0Loubna Lakhmaili1Abdellah Mourassil2University Hassan II Mohammedia, Laboratory of Mathematics, Cryptography, Mechanical and Numerical Analysis, F. S. T., BP 146, Mohammedia 20650, MoroccoUniversity Hassan II Mohammedia, Laboratory of Mathematics, Cryptography, Mechanical and Numerical Analysis, F. S. T., BP 146, Mohammedia 20650, MoroccoUniversity Hassan II Mohammedia, Laboratory of Mathematics, Cryptography, Mechanical and Numerical Analysis, F. S. T., BP 146, Mohammedia 20650, MoroccoIn 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.http://dx.doi.org/10.1155/2019/5792549 |
| spellingShingle | Mohammed Harfaoui Loubna Lakhmaili Abdellah Mourassil p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant International Journal of Mathematics and Mathematical Sciences |
| title | p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant |
| title_full | p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant |
| title_fullStr | p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant |
| title_full_unstemmed | p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant |
| title_short | p,q-Growth of Meromorphic Functions and the Newton-Padé Approximant |
| title_sort | p q growth of meromorphic functions and the newton pade approximant |
| url | http://dx.doi.org/10.1155/2019/5792549 |
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