8 citations · 36 across the 28 of their papers we have counts for
31 papers
Uniqueness of meromorphic functions that share Two Sets
Amit Kumar Pal, Bikash Chakraborty, Sudip Saha
In this note, we introduce a new kind of pair of finite range sets in for meromorphic functions corresponding to their uniqueness, i.e., how two meromorphic functions…
Euler's Limit -- Revisited
Bikash Chakraborty, Sagar Chakraborty
The aim of this short note is that if and are two sequences of positive real numbers such that and satisfying the asymptotic form…
A simple proof of the Fundamental Theorem of Algebra
Bikash Chakraborty
Many proofs of the Fundamental Theorem of Algebra, including various proofs based on the theory of analytic functions of a complex variable, are known. To the best of our knowledge…
A visual tour via the Definite Integration
Bikash Chakraborty
Geometrically, means the area under the curve from to , where , and this area gives a positive number. Using this area argum…
Unique range sets without Fujimoto's hypothesis
Bikash Chakraborty
This paper studies the uniqueness of two non-constant meromorphic functions when they share a finite set. Moreover, we will give the existence of unique range sets for meromorphic…
Geometric visualizations of when
Bikash Chakraborty, Sagar Chakraborty, Reza Farhadian
In connection to the two fascinating constants and , there are many beautiful visual proofs to the inequality . The aim of this classroom capsule is to give three…
A Note on the value distribution of a differential monomial and some normality criteria
Sudip Saha, Bikash Chakraborty
In this paper, we prove some value distribution results which lead to some normality criteria for a family of analytic functions. These results improve some recent results.
Proof Without Words: Sums of Powers of Natural numbers
Bikash Chakraborty
The aim of this paper is to prove wordlessly the sum formula of , .
Unique range sets of meromorphic functions of non-integer finite order
Bikash Chakraborty, Amit Kumar Pal, Sudip Saha +1
This paper studies the uniqueness of two non-integral finite ordered meromorphic functions with finitely many poles when they share two finite sets. Also, studies an answer to a qu…
Some results on the unique range sets
Bikash Chakraborty, Jayanta Kamila, Amit Kumar Pal +1
In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets…
Value distribution of some differential monomials
Bikash Chakraborty, Sudip Saha, Amit Kumar Pal +1
Let be a transcendental meromorphic function defined in the complex plane . We consider the value distribution of the differential polynomial $f^{q_{0}}(f^{(k)})^{q…
On the value distribution of a Differential Monomial and some normality criteria
Weiran Lü, Bikash Chakraborty
Let be a transcendental meromorphic function defined in the complex plane , and be a small function of . In this paper, We give a quanti…
On the cardinality of unique range sets with weight one
Bikash Chakraborty, Sagar Chakraborty
Two meromorphic functions and are said to share the set with weight , if …
A Visual Proof that
Bikash Chakraborty
In this article, we give another visual proof of .
A note on the value distribution of Differential Polynomials
Subhas S. Bhoosnurmath, Bikash Chakraborty, H. M. Srivastava
Let be a transcendental meromorphic function, defined in the complex plane . In this paper, we give a quantitative estimations of the characteristic function $T(r,f…
Uniqueness of power of a meromorphic function with its differential polynomial
Bikash Chakraborty
In this paper, taking the question of Zhang and Lü into the background, we present one theorem which will improve and extend some recent results related to the Brück Conjecture.
Some uniqueness results related to the Brück Conjecture
Bikash Chakraborty
Let f be a non-constant meromorphic function and a = a(z) be a small function of f. Under certain essential conditions, we obtained similar type conclusion of Bruck Conjecture, whe…
Some inequalities related to differential monomials
Bikash Chakraborty
The aim of this paper is to consider the value distribution of a differential monomial generated by a transcendental meromorphic function.
On the uniqueness of power of a meromorphic function sharing a set with its k-th derivative
Abhijit Banerjee, Bikash Chakraborty
In the existing literature, many researchers consider the uniqueness of the power of a meromorphic function with its derivative counterpart share certain values or small functions.…
A Note On Uniqueness Of Meromorphic Functions And Their Derivatives Sharing Two Sets
Abhijit Banerjee, Bikash Chakraborty
In this paper, on the basis of a specific question raised in [6], we further continue our investigations on the uniqueness of a meromorphic function with its higher derivatives sha…
Some Aspects of Uniqueness Theory of Entire and Meromorphic Functions (Ph.D. thesis)
Bikash Chakraborty
The subject of our thesis is the uniqueness theory of meromorphic functions and it is devoted to problems concerning Bruck conjecture, set sharing and related topics. The tool, we…
A simple proof of the Chuang's inequality
Bikash Chakraborty
The purpose of the paper is to present an short proof of the Chuang's inequality.
Further Results On Uniqueness Of Derivatives Of Meromorphic Functions Sharing Three Sets
Abhijit Banerjee, Sujoy Majumder, Bikash Chakraborty
In this paper, we prove some uniqueness theorems concerning the derivatives of meromorphic functions when they share three sets. The obtained results improve some recent existing r…
Pythagorean theorem from Heron's formula: Another proof
Bikash Chakraborty
In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.