Electron. J. Diff. Equ., Vol. 2012 (2012), No. 143, pp. 1-9.

Growth of entire solutions of singular initial-value problem in several complex variables

Devendra Kumar, Mohammed Harfaoui

Abstract:
In this article, we characterize the order, type, lower order, and lower type of entire function solutions to a class of singular initial-value problems, in terms of multinomials for $n\geq 2$.

Submitted June 22, 2012. Published August 20, 2012.
Math Subject Classifications: 30B10, 30D20.
Key Words: Entire function; initial-value problem; multinomials; order and type.

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Devendra Kumar
Department of Mathematics
Research and Post Graduate Studies
M. M. H. College, Model Town
Ghaziabad-201001, U. P., India
email: d_kumar001@rediffmail.com
Mohammed Harfaoui
University Hassan II Mohammedia
Laboratory of Mathematics, Criptography and Mechanical F. S. T.
BP 146, Mohammedia 20650 Morocco
email: mharfaoui04@yahoo.fr

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