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22 results on '"Kaish, Imrul"'

2. Definite Integral of $\alpha$-Fractal Functions

Author

Islam, Md Nazimul and Kaish, Imrul

Subjects
Mathematics - General Mathematics, 28A80, 65D05
Abstract

In this article the integration of the $\alpha$-fractal interpolation function $f^{\alpha}$ corresponding to any continuous function $f$ on a compact interval $I$ of $\mathbb{R}$ is estimated although there is no explicit form of $\alpha$-fractal interpolation function till now. Some results related to the definite integral of $f^{\alpha}$ are established. Also the flipped $\alpha$-fractal function $f_{F}^{\alpha_{F}}$ corresponding to the continuous function $f$ is constructed and a result is proved that relates the definite integrals of the fractal functions $f_{F}^{\alpha_{F}}$ and $f^{\alpha}$.

Published
2021

8. A UNIQUENESS PROBLEM OF MEROMORPHIC FUNCTIONS WITH NORMAL FAMILIES.

Author

MONDAL, RANA and KAISH, IMRUL

Subjects
MEROMORPHIC functions, TRANSCENDENTAL functions, NEVANLINNA theory, FAMILIES, COEFFICIENTS (Statistics)
Abstract

In this paper, we study the uniqueness of a transcendental meromorphic function contributing to a meromorphic function in sync with its first derivative and a linear differential polynomial of first order with two constant coefficients using the theory of normal families. Our result generalizes and supplements some previous results given by Jank-Mues-Volkmann [10], Chang-Fang [4], Chang [5], Lahiri-Ghosh [12], Lü-Yi [13] and Lü-Xu [15]. We also provide examples to demonstrate the correctness of our results. [ABSTRACT FROM AUTHOR]

Published
2023

15. A NOTE ON UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING TWO VALUES WITH THEIR DIFFERENCES.

Author

Kaish, Imrul and Rahaman, Majibur

Subjects
MEROMORPHIC functions, INTEGRAL functions, SHARING
Abstract

In this paper, we study the uniqueness of meromorphic functions that share two non-zero complex constants CM with their differences. We also investigate the uniqueness problem of entire functions which share a non-zero complex constant CM and a non-zero complex constant IM with their differences. [ABSTRACT FROM AUTHOR]

Published
2021

16. Small function sharing results on uniqueness of meromorphic functions concerning differential polynomials.

Author

Rahaman, Md Majibur and Kaish, Imrul

Subjects
MEROMORPHIC functions, POLYNOMIALS, SHARING
Abstract

In this paper, we investigate the uniqueness problems of meromorphic functions concerning differential polynomials sharing a small function. In particular, the resuts of the paper improve the results due to Waghamore and Anand [11]. [ABSTRACT FROM AUTHOR]

Published
2021
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