IJPAM: Volume 54, No. 1 (2009)

ON THE COMPARATIVE GROWTH OF COMPOSITE
ENTIRE AND MEROMORPHIC FUNCTIONS

Sanjib Kumar Datta$^1$25, School Road, Kalianibash, Barrackpore, P.O.: Nonachandanpukur, Dist.: 24 Parganas (North), P.S.: Titagarh, PIN Code: 743102, West Bengal, INDIA, Somnath Mandal$^2$
$^1$Department of Mathematics
University of North Bengal
Raja Rammohunpur, District Darjeeling
PIN Code 734013, West Bengal, INDIA
e-mail: sanjib_kr_datta@yahoo.co.in
$^{2}$Department of Mathematics
Siliguri Institute of Technology
Sukna, Darjeeling, PIN Code 734009, West Bengal, INDIA
e-mail: somnathm11@yahoo.co.in


Abstract.In the paper we study the comparative growth properties of composite entire and meromorphic functions using $L$- $\left( p,q\right) $-th order and $% L^{\ast }$- $\left( p,q\right) $-th order improving some earlier results where $L=L\left( r\right) $ is a slowly changing function and $p,q$ are positive integers with $p>q$.

Received: June 16, 2009

AMS Subject Classification: 30D35, 30D30

Key Words and Phrases: entire and meromorphic function, $L$-order, $L$-lower order, $L$-$(p,q)$-th order, $L$-$(p,q)$-th lower order, $L^{\ast }$-$(p,q)$-th order, $L^{\ast }$-$(p,q)$-th lower order, composition, growth

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 1