Growth Analysis of Composite Entire Functions Related to Slowly Changing Functions Oriented Relative Order and Relative Type
نویسندگان
چکیده
منابع مشابه
Relative orders and slowly changing functions oriented growth analysis of composite entire functions
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.
متن کاملrelative orders and slowly changing functions oriented growth analysis of composite entire functions
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.
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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.
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In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
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In the paper we study the growth properties of composite entire and meromophic functions using L-order and L∗-order improving some earlier results where L ≡ L(r) is a slowly changing function. Mathematics Subject Classification: 30D35, 30D30
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ژورنال
عنوان ژورنال: Journal of Complex Analysis
سال: 2014
ISSN: 2314-4963,2314-4971
DOI: 10.1155/2014/503719