Infinite order solutions of complex linear differential equations

Belaidi, Benharrat

dc.contributor.author	Belaidi, Benharrat
dc.date.accessioned	2019-06-09T12:44:55Z
dc.date.available	2019-06-09T12:44:55Z
dc.date.issued	2007
dc.identifier.issn	1787-2413
dc.identifier.uri	http://e-biblio.univ-mosta.dz/handle/123456789/10726
dc.description.abstract	In this paper we investigate the growth of solutions of the differential equation f .k/C Ak􀀀1 .´/f .k􀀀1/C CA1 .´/f 0 CA0 .´/f D 0; where A0 .´/ ; : : : ; Ak􀀀1 .´/ are entire functions with 0 < .A0/ 1=2: We will show that if there exists a real constant < .A0/ and a set E .1;C1/ with log densE D 1; such that for all r 2 E ; we have minj´jDr jAj .´/ j exp.r / .j D 1;2; : : : ;k 􀀀1/ ; then every solution f 6 0 of the above differential equation is of infinite order with hyper-order 2 .f / .A0/. The paper extends previous results by the author and Hamani.	en_US
dc.publisher	Miskolc Mathematical Notes	en_US
dc.subject	linear differential equations	en_US
dc.subject	growth of entire function	en_US
dc.subject	hyper-order	en_US
dc.title	Infinite order solutions of complex linear differential equations	en_US
dc.type	Article	en_US