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Meromorphic Functions Sharing a Nonzero Polynomial IM
Sahoo, Pulak Department of Mathematics 2013 Kyungpook mathematical journal Vol.53 No.2
We study the uniqueness of meromorphic functions concerning nonlinear differential polynomials sharing a nonzero polynomial IM. Though the main concern of the paper is to improve a recent result of the present author [12], as a consequence of the main result we also generalize two recent results of X. M. Li and L. Gao [11].
Weighted Value Sharing and Uniqueness of Entire Functions
Sahoo, Pulak Department of Mathematics 2011 Kyungpook mathematical journal Vol.51 No.2
In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear differential polynomials sharing one value and prove two uniqueness theorems, first one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].
Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives
Sahoo, Pulak,Biswas, Gurudas Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
In this paper, we investigate the uniqueness problem of entire functions sharing two polynomials with their k-th derivatives. We look into the conjecture given by $L{\ddot{u}}$, Li and Yang [Bull. Korean Math. Soc., 51(2014), 1281-1289] for the case $F=f^nP(f)$, where f is a transcendental entire function and $P(z)=a_mz^m+a_{m-1}z^{m-1}+{\ldots}+a_1z+a_0({\not{\equiv}}0)$, m is a nonnegative integer, $a_m,a_{m-1},{\ldots},a_1,a_0$ are complex constants and obtain a result which improves and generalizes many previous results. We also provide some examples to show that the conditions taken in our result are best possible.
Pulak Sahoo,Nityagopal Biswas 강원경기수학회 2023 한국수학논문집 Vol.31 No.2
In this paper, we investigate the $\left[p,q\right]-\phi$ order and $\left[p,q\right]-\phi$ type of $f_1+f_2$, $f_1f_2$ and $\frac{f_1}{f_2}$, where $f_1$ and $f_2$ are analytic or meromorphic functions with the same $\left[p,q\right]-\phi$ order and different $\left[p,q\right]-\phi$ type in the unit disc. Also, we study the $\left[p,q\right]-\phi$ order and $\left[p,q\right]-\phi$ type of different $f$ and its derivative. At the end, we investigate the relationship between two different $\left[p,q\right]-\phi$ convergence exponents of $f$. We extend some earlier precedent well known results.
ON A UNIQUENESS THEOREM OF H. UEDA
Indrajit Lahiri,Pulak Sahoo 대한수학회 2010 대한수학회지 Vol.47 No.3
We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.
Certain Nonlinear Differential Polynomials Sharing a Nonzero Polynomial with Finite Weight
BANERJEE, ABHIJIT,SAHOO, PULAK Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.3
With the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain nonlinear differential polynomials share a nonzero polynomial. Our results improve some recent results including that of a present first author.
ON A UNIQUENESS THEOREM OF H. UEDA
Lahiri, Indrajit,Sahoo, Pulak Korean Mathematical Society 2010 대한수학회지 Vol.47 No.3
We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.
On the growth analysis of iterated entire functions
Ravi P. Agarwal,Sanjib Kumar Datta,Tanmay Biswas,Pulak Sahoo 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.1
In the paper we prove some results relating to the comparative growth properties of iterated entire functions using (p; q) -th order and (p; q)- th lower order.