(p, q)-Growth of Meromorphic Functions and the Newton-Pade Approximant
Theory and Applications of Mathematical Science Vol. 2,
Page 93-102
Abstract
In this paper, we have considered the generalized growth ((p, q)-order and (p, q)-type) in term of coefficient of the developpement pnn given by
in the (n, n)-th Newton-pad´e approximant of meromorphic function. We use these results to study the relationship betwen 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.
Keywords:
- Generalized the growth
- meromorphic functions
- Pad-approximants
- best rational approximation
- (p, q)-order and (p, q)-type
- logarithmic capacity
How to Cite
Harfaoui, M., Lakhmaili, L., & Mourassil, A. (2020). (p, q)-Growth of Meromorphic Functions and the Newton-Pade Approximant. Theory and Applications of Mathematical Science Vol. 2, 93-102. Retrieved from https://stm1.bookpi.org/index.php/tams-v2/article/view/1025
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