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1 – 2 of 2Dilip Chandra Pramanik and Kapil Roy
The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture…
Abstract
Purpose
The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation. The results generalize the results due to Pramanik et al.
Design/methodology/approach
39B32, 30D35.
Findings
In the current paper, we mainly study the Brück conjecture and the various works that confirm this conjecture. In our study we find that the conjecture can be generalized for differential monomials under some additional conditions and it generalizes some works related to the conjecture. Also we can take the complex number
Originality/value
This is an original work of the authors.
Details
Keywords
Abhijit Banerjee and Arpita Roy
The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.
Abstract
Purpose
The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.
Design/methodology/approach
Standard methodology for papers in difference and shift operators and value distribution theory have been used.
Findings
The relation between an entire function of restricted hyper-order with its linear c-shift operator was found under the periphery of sharing a set of two small functions IM (ignoring multiplicities) when exponent of convergence of zeros is strictly less than its order. This research work is an improvement and extension of two previous papers.
Originality/value
This is an original research work.
Details