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pro vyhledávání: '"Chakraborty, Bikash"'
In this note, we introduce a new kind of pair of finite range sets in $\mathbb{C}$ for meromorphic functions corresponding to their uniqueness, i.e., how two meromorphic functions are uniquely determined by their two finite shared sets.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2211.00506
Publikováno v:
The Mathematical Gazette, Vol. 108, Issue 571, (2024)
The aim of this short note is that if $\{ a_{n}\}$ and $\{ b_{n}\}$ are two sequences of positive real numbers such that $a_{n}\to +\infty$ and $b_n$ satisfying the asymptotic formula $b_n\sim k\cdot a_{n}$, where $k>0$, then $\lim\limits_{n\to\infty
Externí odkaz:
http://arxiv.org/abs/2209.03141
Autor:
Chakraborty, Bikash
Publikováno v:
Elemente der Mathematik (Online publised) 2022
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, this proof is different from the existing ones.
Comment: 2 page
Comment: 2 page
Externí odkaz:
http://arxiv.org/abs/2208.04141
Autor:
Chakraborty, Bikash
Geometrically, $\int_{a}^{b}\frac{1}{x}dx$ means the area under the curve $\frac{1}{x}$ from $a$ to $b$, where $0
Externí odkaz:
http://arxiv.org/abs/2205.09033
Autor:
Mandal, Uttam, Rizzoli, Corrado, Chakraborty, Bikash, Bandyopadhyay, Debasis, Mandal, Santanu
Publikováno v:
In Journal of Molecular Structure 15 April 2024 1302
Autor:
Chakraborty, Bikash
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 functions that are zero sets of polynomials that do not necessarily sa
Externí odkaz:
http://arxiv.org/abs/2104.00533
In connection to the two fascinating constants $e$ and $\pi$, there are many beautiful visual proofs to the inequality $\pi^{e}
Externí odkaz:
http://arxiv.org/abs/2101.04037
Autor:
Saha, Sudip, Chakraborty, Bikash
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.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2101.01057
Autor:
Chakraborty, Bikash
Publikováno v:
Math. Intelligencer, 40 (2018), no. 2, pp. 20. (2nd figure has been published)
The aim of this paper is to prove wordlessly the sum formula of $1^{k}+2^{k}+\ldots +n^{k}$, $k\in\{1,2,3\}$.
Comment: 3 pages, 3 figures
Comment: 3 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2012.11539
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 question posed by Gross for a particular class of meromorphic functions.
Externí odkaz:
http://arxiv.org/abs/2005.10805