نتایج جستجو برای: generalized relative ritt lower order

تعداد نتایج: 1984443  

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: :J. Symb. Comput. 2013
Meng Jin Xiaoliang Li Dongming Wang

Ritt-Wu’s algorithm of characteristic sets is the most representative for triangularizing sets of multivariate polynomials. Pseudo-division is the main operation used in this algorithm. In this paper we present a new algorithmic scheme for computing generalized characteristic sets by introducing other admissible reductions than pseudo-division. A concrete subalgorithm is designed to triangulari...

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: :J. Symb. Comput. 1999
Evelyne Hubert

We present an algorithm to determine the set of essential singular solutions of a differential equation. Essential singular solutions can be informally described as follows: the general solution of a differential equation is usually described as a solution depending on a number of arbitrary constants equal to the order of the differential equation. The essential singular solutions are those tha...

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.

Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.

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