IJPAM: Volume 51, No. 4 (2009)

GENERALISED GROWTH PROPERTIES OF
COMPOSITE ENTIRE FUNCTIONS

Sanjib Kumar Datta25, School Road, Kalianibash, Barrackpore, P.O.: Nonachandanpukur, Dist.: 24 Parganas (North), P.S.: Titagarh, PIN CODE: 743102, West Bengal, INDIA, Sourav Kar$^2$
$^1$Department of Mathematics
University of North Bengal
Raja Rammohunpur, District Darjeeling
PIN Code 734013, West Bengal, INDIA
e-mail: [email protected]
$^2$Department of Mathematics
Siliguri Institute of Technology
Sukna, District Darjeeling
PIN Code 734009, West Bengal, INDIA
e-mail: [email protected]


Abstract.The aim of the paper is to study the comparative growth properties of composite entire functions using $L^{\ast }$-order and $L^{\ast }$-type where $L=L(r)$ is a slowly changing function. Further we introduce the notion of generalised relative $L^{\ast }$-order of entire functions and discuss some of their properties.

Received: February 7, 2009

AMS Subject Classification: 30D35, 30D30

Key Words and Phrases: slowly changing function, entire function, comparative growth, $L^{\ast }$-order, $L^{\ast }$-type, generalised relative $L^{\ast }$-order

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 4