نتایج جستجو برای: relative L*-order ( relative L*-lower order)

تعداد نتایج: 2361687  

Journal: :international journal of nonlinear analysis and applications 2015
sanjib kumar datta tanmay biswas sarmila bhattacharyya

in the paper we establish some new results depending on thecomparative growth properties of composition of entire functionsusing relative $l^{ast }$-order (relative $l^{ast }$-lowerorder) as compared to their corresponding left and right factorswhere $lequiv lleft( rright) $ is a slowly changing function.

Journal: :international journal of nonlinear analysis and applications 0
sanjib kumar datta associate professor department of mathematics university of kalyani tanmay biswas rajbari, rabindrapalli, r. n. tagore road, p.o. krishnagar, dist-nadia,pin-741101, west bengal, india debasmita dutta mohanpara nibedita balika vidyalaya (high),p.o - amrity, block - english bazar, dist.- district - malda, pin- 732208, west bengal, india

let f, g and h be all entire functions of several complex variables. in this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

Journal: :sahand communications in mathematical analysis 2016
sanjib datta tanmay biswas pranab das

for entire functions, the notions of their growth indicators such as ritt order are classical in complex analysis. but the concepts of relative ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. therefore the studies of the growths of entire functions in the light of thei...

Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

In the paper we establish some new results depending on the comparative growth properties of composition of entire functions using relative $L^{ast }$-order (relative $L^{ast }$-lower order) as compared to their corresponding left and right factors where $Lequiv Lleft( rright) $ is a slowly changing function.

Journal: :sahand communications in mathematical analysis 0
sanjib kumar datta department of mathematics, university of kalyani, p.o.-kalyani, dist-nadia, pin-741235, west bengal, india. tanmay biswas rajbari, rabindrapalli, r. n. tagore road, p.o.-krishnagar, dist-nadia, pin-741101, west bengal, india.

in this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.

2016
Sanjib Kumar Datta Tanmay Biswas Pulak Sahoo

In the paper the ideas of relative Nevanlinna L∗-order and relative Nevanlinna L∗-lower order of an analytic function with respect to an entire function in the unit disc U = {z : |z| < 1} are introduced. Hence, we study some comparative growth properties of composition of two analytic functions in the unit disc U on the basis of relative Nevanlinna L∗-order and relative Nevanlinna L∗-lower order.

2017
Sanjib Kumar Datta Tanmay Biswas

In the paper we wish to establish some comparative growth properties of composite entire or meromorphic functions on the basis of generalized relative L∗-order and generalized relative L∗-lower order.

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