Page 1

Displaying 1 – 16 of 16

Showing per page

Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials

Harina P. Waghamore, Ramya Maligi (2020)

Communications in Mathematics

The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].

Generalizations on the results of Cao and Zhang

Sujoy Majumder, Rajib Mandal (2022)

Mathematica Bohemica

We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials P ( f ) i = 1 k ( f ( i ) ) n i and P ( g ) i = 1 k ( g ( i ) ) n i share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.

Growth of solutions of a class of complex differential equations

Ting-Bin Cao (2009)

Annales Polonici Mathematici

The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation f ' - e P ( z ) f = 1 has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].

Currently displaying 1 – 16 of 16

Page 1