ON HOLOMORPHIC PERTURBATIONS OF INFINITE-ORDER DIFFERENTIAL-EQUATIONS

Authors
VIDRAS A
Citation
A. Vidras, ON HOLOMORPHIC PERTURBATIONS OF INFINITE-ORDER DIFFERENTIAL-EQUATIONS, Mathematische Nachrichten, 187, 1997, pp. 267-292
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
187
Year of publication
1997
Pages
267 - 292
Database
ISI
SICI code
0025-584X(1997)187:<267:OHPOID>2.0.ZU;2-2
Abstract
It is proven in the present article that the solutions of infinite ord er differential equation with holomorphic parameter w is an element of U subset of C depend holomorphically on w in the neighborhood of char acterisitic points of certain directions.